Properties of the Number 51696

Fifty-One Thousand Six Hundred Ninety-Six

Basics

Value: 51695 → 51696 → 51697

Parity: even

Prime: No

Previous Prime: 51691

Next Prime: 51713

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 359

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1100100111110000

Octal: 144760

Duodecimal: 25B00

Hexadecimal: c9f0

Square: 2672476416

Square Root: 227.367543857957

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of r(q⁴) / r(q)⁴ in powers of q where r() is the Rogers-Ramanujan continued fraction. A285584

Expansion of e.g.f. (1/x) * Series_Reversion( x·exp(-x·C(x)²) ), where C(x) = 1 + x·C(x)² is the g.f. of A000108. A382036

First differences of A275315. A275066

Numbers k such that 3·5^k - 2 is prime. A57917

Number of nX7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically. A207878

Sum of first n Honaker primes. A276255

Expansion of e.g.f. log(1 + (1/(1-x)⁵ - 1)/5). A344218

Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically. A207874

Greatest common divisor of n! and nⁿ. A51696

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically. A207879