Properties of the Number 26952

Twenty-Six Thousand Nine Hundred Fifty-Two

Basics

Value: 26951 → 26952 → 26953

Parity: even

Prime: No

Previous Prime: 26951

Next Prime: 26953

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1123

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1123, 2246

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101001000

Octal: 64510

Duodecimal: 13720

Hexadecimal: 6948

Square: 726410304

Square Root: 164.17064292984907

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! * ∑_k=0..n Bell(k)/k! (cf. A000110). A101053

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A317004

Numbers n such that n·nextprime((n-1)!)-nextprime(n!) < 0. A90660

Consecutive states of the linear congruential pseudo-random number generator 172·s mod 30307 when started at s=1. A385032

Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k valleys (n>=0, 0<=k<=floor(n/2)-1; a valley is a downstep followed by an upstep). A97885

Expansion of f(-x⁶) / (f(-x²)³ * φ(-x)²) in powers of·where φ(), f() are Ramanujan θ functions. A259664

a(0) = 1, a(n) = 22·n² + 2 for n>0. A10012

Number of partitions of n into parts that are odd or == +- 2 (mod 10). A133153

Positions of harmonic numbers in the EKG sequence. A140804

Number of ways to place 5 nonattacking kings on an n X n cylindrical chessboard. A194653