Properties of the Number 51936

Fifty-One Thousand Nine Hundred Thirty-Six

Basics

Value: 51935 → 51936 → 51937

Parity: even

Prime: No

Previous Prime: 51929

Next Prime: 51941

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 541

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101011100000

Octal: 145340

Duodecimal: 26080

Hexadecimal: cae0

Square: 2697348096

Square Root: 227.89471253190584

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

Sum of terms in level n of TRIP - Stern sequence associated with permutation triple (e,13,23). A278615

The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2). A292345

L.g.f.: ∑_n>=1 a(n)*xⁿ/n = log( ∑_n>=0 x^2ⁿ-1 ). A162415

Coefficients in the expansion of ([s] + [2s]x + [3s]x² + ...)/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = e - 1, s = r/(1-r). A279632

Truncated triangular numbers: a(n) = n*(n+1)/2 - 9. A51936

Number of (n+2) X (1+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254900