Properties of the Number 26628

Twenty-Six Thousand Six Hundred Twenty-Eight

Basics

Value: 26627 → 26628 → 26629

Parity: even

Prime: No

Previous Prime: 26627

Next Prime: 26633

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 317

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100000000100

Octal: 64004

Duodecimal: 134B0

Hexadecimal: 6804

Square: 709050384

Square Root: 163.18088123306603

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

a(n) = 1 + A_n(n), or a(n) = -1 if sequence A_n is not defined up to index n. A107357

Number of partitions of n such that (least part) <= (multiplicity of greatest part). A240179

Triangle, read by rows, where g.f. of row n equals the product of (1-x)ⁿ and the g.f. of the coordination sequence for root lattice B_n, for n >= 0. A109001

Numbers k such that cototient(k) is a square and sets a new record for squares. A63753

Number of 4-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187859

Number of (7+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258560

Numbers k such that Bernoulli number B_k has denominator 3404310. A295596

Triangle read by rows: T(n,m) = ∑_k=1..m (k/n)*binomial(n,m-k)*binomial(n,m), n >= m >= 1. A343960

Triangle, read by rows, where row n lists the coefficients of x^k, k=1..2ⁿ, in the n-th iteration of (x + x²) for n>=0. A122888

a(n) = A026626(2·n, n-1). A26628