Properties of the Number 35288

Thirty-Five Thousand Two Hundred Eighty-Eight

Basics

Value: 35287 → 35288 → 35289

Parity: even

Prime: No

Previous Prime: 35281

Next Prime: 35291

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 11 × 401

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 401, 802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100111011000

Octal: 104730

Duodecimal: 18508

Hexadecimal: 89d8

Square: 1245242944

Square Root: 187.85100478836944

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

Triangle T(n,k) giving the smallest term in "the infinite trunk of factorial beanstalk" (A219666) whose factorial base representation contains n digits (A084558) and the most significant such digit (A099563) is k. A230428

Expansion of g.f.: 2^1+floor(n/2)*n!*((1-y)ⁿ⁺¹/(1+y))*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = 0. A171693

Decimal part of cube root of a(n) starts with 8: first term of runs. A34134

Number of 6-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero. A208827

Number of n-bead necklaces labeled with numbers -7..7 allowing reversal, with sum zero. A208824

The smallest abundant number that begins a run of at least n consecutive abundant numbers with the same number of prime factors (counted with multiplicity). A376819

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero. A208825

Number of ways to place a non-attacking white and black bishop on n X n chessboard. A35288