Properties of the Number 28696

Twenty-Eight Thousand Six Hundred Ninety-Six

Basics

Value: 28695 → 28696 → 28697

Parity: even

Prime: No

Previous Prime: 28687

Next Prime: 28697

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 17 × 211

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 211, 422

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000000011000

Octal: 70030

Duodecimal: 14734

Hexadecimal: 7018

Square: 823460416

Square Root: 169.3989374228776

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

Expansion of -(1+x²)/((x²+4·x+1)*(x²-2·x-1)). A111644

Number of partitions of {1,...,n} into block sizes a power of 2. A115625

Number of permutations of length n which avoid the patterns 2143, 1324 (smooth permutations); or avoid the patterns 1342, 2431; etc. A32351

a(n) is the smallest number which is the sum of two positive n-gonal numbers in more than one way. A199809

Number of set partitions of [n] such that eight is a multiple of each block size. A275426

Expansion of ∏_k>=1 (1 + x^prime(k))^prime(k). A291647

Number of (n+2) X (7+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252718

Expansion of (theta₃(z⁴)³ + theta₂(z⁴)³)³. A28696

G.f. A(x) satisfies: A(x) = P(x)/Q(x) where P(x) = ∑_n>=0 (n+1)*xⁿ/(1 - x·A(x)ⁿ) and Q(x) = ∑_n>=0 xⁿ/(1 - x·A(x)ⁿ). A341342