Properties of the Number 25528

Twenty-Five Thousand Five Hundred Twenty-Eight

Basics

Value: 25527 → 25528 → 25529

Parity: even

Prime: No

Previous Prime: 25523

Next Prime: 25537

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 3191

Divisors: 1, 2, 4, 8, 3191, 6382, 12764, 25528

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001110111000

Octal: 61670

Duodecimal: 12934

Hexadecimal: 63b8

Square: 651678784

Square Root: 159.77484157401003

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

Number of pairs (λ,μ) of partitions λ of n and μ of seven with μ <= λ (by diagram containment). A303857

a(n) = [xⁿ] 2 / (1 - 7·x + sqrt(1 - 2·x - 3·x²)). A344506

Number of n X 5 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201501

Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5) + cn(1,5) and cn(2,5) + cn(3,5) <= cn(0,5) + cn(4,5). A39865

Inverse Moebius transform of A000011 (starting at term 0). A54181

T(n, k) = P(n-k, k) where P(n, x) = ∑_k=0..n A064189(n, k)*x^k. Triangle read by rows, for 0 <= k <= n. A330792

Number of prime powers <= n with exponents > 0 (A246655). A25528

A(n, k) = [x^k] 2 / (1 - (2·n - 1)*x + sqrt(1 - 2·x - 3·x²)). The number of n-colored Motzkin arcs of length k. Array read by ascending antidiagonals, n >= 0 and k >= 0. A344567