Properties of the Number 56640

Fifty-Six Thousand Six Hundred Forty

Basics

Value: 56639 → 56640 → 56641

Parity: even

Prime: No

Previous Prime: 56633

Next Prime: 56659

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 × 59

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110101000000

Octal: 156500

Duodecimal: 28940

Hexadecimal: dd40

Square: 3208089600

Square Root: 237.99159649029627

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

Structured great rhombicosidodecahedral numbers. A100145

Number of connected graphs with n nodes and n edges. A1866

G.f. satisfies A(x) = 1 + x·A(x)⁵ / (1 + x·A(x)⁶). A365226

a(n) = (25·n⁴-120·n³+209·n²-108·n)/6. A6529

1/n·sum over d∣n of {μ(n/d) * (5d)! / d!⁵}. A74653

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2·b(n-1) + 2·b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294419

At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage. A56640

Expansion of g²/(1 + x²*g³), where g = 1+x·g³ is the g.f. of A001764. A391299

Antidiagonal sums of the row-reversed triangle A048998 of Bernoulli polynomial coefficients. A122596