Properties of the Number 26545

Twenty-Six Thousand Five Hundred Forty-Five

Basics

Value: 26544 → 26545 → 26546

Parity: odd

Prime: No

Previous Prime: 26539

Next Prime: 26557

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 5309

Divisors: 1, 5, 5309, 26545

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011110110001

Octal: 63661

Duodecimal: 13441

Hexadecimal: 67b1

Square: 704637025

Square Root: 162.92636373527768

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

Rounded volume of a regular icosahedron with edge length n. A71402

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-1), where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296292

Number of permutations σ of [n] such that σ(k)/k > σ(k+1)/(k+1) for 1 <= k <= n-1. A309807

Indices of pentagonal numbers (A000326) which are also centered square numbers (A001844). A254709

Non-crossing, non-nesting, 3-colored set partitions. A225029

Sequence with all (x, y) = (a(2m), a(2m+-1)) satisfying x∣y²+y+1 and y∣x²+1. A242725

E.g.f. satisfies A(x) = exp(x·A(-x²)). A367721

antisigma(n) + antisigma(n+3) = antisigma(n+1) + antisigma(n+2), where antisigma(n) = sum of the non-divisors of n that are between 1 and n. A76667

a(n) = T(2n-1, n-1), T given by A026536. A26545