Properties of the Number 52468

Fifty-Two Thousand Four Hundred Sixty-Eight

Basics

Value: 52467 → 52468 → 52469

Parity: even

Prime: No

Previous Prime: 52457

Next Prime: 52489

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 13 × 1009

Divisors: 1, 2, 4, 13, 26, 52, 1009, 2018, 4036, 13117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1100110011110100

Octal: 146364

Duodecimal: 26444

Hexadecimal: ccf4

Square: 2752891024

Square Root: 229.0589443789524

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

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235239

G.f.: ∑_k>=1 x^2·k/(1+x^2·k) * ∏_k>=1 (1+x^k)/(1-x^k). A305122

a(n) = 10000·n + 2468. A102689

Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235232

Number of (n+1) X (6+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235237

Number of h-cobordism classes of smooth homotopy n-spheres. A1676

Order of n-th stable homotopy group of spheres. A48648

Numerators in the Taylor series for arccosh(x) - log(2·x). A52468