Properties of the Number 51268

Fifty-One Thousand Two Hundred Sixty-Eight

Basics

Value: 51267 → 51268 → 51269

Parity: even

Prime: No

Previous Prime: 51263

Next Prime: 51283

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 1831

Divisors: 1, 2, 4, 7, 14, 28, 1831, 3662, 7324, 12817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100001000100

Octal: 144104

Duodecimal: 25804

Hexadecimal: c844

Square: 2628407824

Square Root: 226.42438031272164

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 ∏_k>=1 (1+x^k)^{k^k}. A261053

Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101. A261284

Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101. A261290

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101. A261292

Numbers n such that maximal value of prime divisors of reduced residue system for n is 4. A51268

Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 with each element having directed index change 0,0 0,1 1,0 -1,0 or 0,-2. A264219

L.g.f.: log(∏_k>=1 (1 + x^k)^{k^k}) = ∑_n>=1 a(n)*xⁿ/n. A304870