Properties of the Number 26288

Twenty-Six Thousand Two Hundred Eighty-Eight

Basics

Value: 26287 → 26288 → 26289

Parity: even

Prime: No

Previous Prime: 26267

Next Prime: 26293

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 31 × 53

Divisors: 1, 2, 4, 8, 16, 31, 53, 62, 106, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011010110000

Octal: 63260

Duodecimal: 13268

Hexadecimal: 66b0

Square: 691058944

Square Root: 162.13574559608995

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) = n*(n+1)*(5·n + 4)/6. A162147

Number of imprimitive (periodic) n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed. A115118

Number of partitions p of n not including ceiling(mean(p)) as a part. A241337

Numbers d·p where d is a perfect number and p<d a prime not dividing d. A165772

G.f. A(x) satisfies: [xⁿ⁺¹] A(x)ⁿ = n*([x^n-1] A(x)ⁿ) for n>=1. A245310

Admirable numbers n such that the subtracted divisor is > sqrt(n). A109321

Values of Newton-Gregory forward interpolating polynomial (1/3)*(2·n-7)*(2·n²-11·n+18). A30434

Values of Newton-Gregory forward interpolating polynomial (1/3)*(2·n - 3)*(2·n² - 3·n + 4). A30441

Numbers n such that n = π(n) + uphi(n), where π = A000720, uphi = A047994. A298761

Number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, s(1) = 1, s(n) = 2, |s(i) - s(i-1)| <= 1 for i >= 2, |s(2) - s(1)| = 1, |s(3) - s(2)| = 1 if s(2) = 1. Also T(n,n-2), where T is the array in A026268. A26288