53959 (number)
53,959 (fiftythree thousand nine hundred fiftynine) is an odd fivedigits prime number following 53958 and preceding 53960. In scientific notation, it is written as 5.3959 × 10^{4}. The sum of its digits is 31. It has a total of 1 prime factor and 2 positive divisors. There are 53,958 positive integers (up to 53959) that are relatively prime to 53959.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 31
 Digital Root 4
Name
Short name  53 thousand 959 

Full name  fiftythree thousand nine hundred fiftynine 
Notation
Scientific notation  5.3959 × 10^{4} 

Engineering notation  53.959 × 10^{3} 
Prime Factorization of 53959
Prime Factorization 53959
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  53959  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.895979777904  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 53,959 is 53959. Since it has a total of 1 prime factor, 53,959 is a prime number.
Divisors of 53959
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  53960  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  26980  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  232.29076606701  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999629355078  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 53,959 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 53,959) is 53,960, the average is 26,980.
Other Arithmetic Functions (n = 53959)
φ(n)  Euler Totient  53958  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  53958  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5494  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 53,958 positive integers (less than 53,959) that are coprime with 53,959. And there are approximately 5,494 prime numbers less than or equal to 53,959.
Divisibility of 53959
m  2  3  4  5  6  7  8  9 

n mod m  1  1  3  4  1  3  7  4 
53,959 is not divisible by any number less than or equal to 9.
Classification of 53959
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (53959)
Base  System  Value 

2  Binary  1101001011000111 
3  Ternary  2202000111 
4  Quaternary  31023013 
5  Quinary  3211314 
6  Senary  1053451 
8  Octal  151307 
10  Decimal  53959 
12  Duodecimal  27287 
16  Hexadecimal  d2c7 
20  Vigesimal  6ehj 
36  Base36  15mv 
Basic calculations (n = 53959)
Multiplication
n×yn×2  107918 

n×3  161877 
n×4  215836 
n×5  269795 
Division
n÷yn÷2  26979.500 

n÷3  17986.333 
n÷4  13489.750 
n÷5  10791.800 
Exponentiation
n^{y}n^{2}  2911573681 

n^{3}  157105604253079 
n^{4}  8477261299891889761 
n^{5}  457424542480866479613799 
Nth Root
^{y}√n^{2}√n  232.29076606701 

^{3}√n  37.788063007552 
^{4}√n  15.241088086715 
^{5}√n  8.8391962942894 
53959 as geometric shapes
Circle
Radius = nDiameter  107918 

Circumference  339034.3959901 
Area  9146978486.615 
Sphere
Radius = nVolume  6.5808241621234E+14 

Surface area  36587913946.46 
Circumference  339034.3959901 
Square
Length = nPerimeter  215836 

Area  2911573681 
Diagonal  76309.54961209 
Cube
Length = nSurface area  17469442086 

Volume  157105604253079 
Space diagonal  93459.729525609 
Equilateral Triangle
Length = nPerimeter  161877 

Area  1260748386.3681 
Altitude  46729.864762805 
Triangular Pyramid
Length = nSurface area  5042993545.4723 

Volume  18515073021627 
Height  44057.339010279 
Cryptographic Hash Functions
md5  8dbc97d9720940c30d0c7ffec4ba41c7 

sha1  e6ed731f21390495933a569350d3ac4d5952daf3 
sha256  acab3908b869fa6d21a7de6ea3d416d28eae1ad725c587d1f5d88a710e562201 
sha512  fbf960d13dc03ecaa223c8662e20a3c84fc11b76330c9891ed836f592fd998b6d11899c8e21f5e8fc02e1899ae923dfe5a37d88f7724bebbe72a2bc2c52de737 
ripemd160  4894e91a08c775ca840f279a6072984fd9f9e943 