Properties of the Number 28506

Twenty-Eight Thousand Five Hundred Six

Basics

Value: 28505 → 28506 → 28507

Parity: even

Prime: No

Previous Prime: 28499

Next Prime: 28513

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 4751

Divisors: 1, 2, 3, 6, 4751, 9502, 14253, 28506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111101011010

Octal: 67532

Duodecimal: 145B6

Hexadecimal: 6f5a

Square: 812592036

Square Root: 168.83719969248483

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

Number A(n,k) of n-element subsets of [k·n] whose elements sum to a multiple of n. Square array A(n,k) with n, k >= 0 read by antidiagonals. A304482

a(n) = ∑_k=0..n-1 binomial(5·k-1,k) * binomial(5·n-5·k,n-k-1). A386566

Matrix inverse of triangle A121336, where A121336(n,k) = C( n*(n+1)/2 + n-k + 2, n-k) for n>=k>=0. A121441

Number of 5Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. A266015

Number of paths in K₆ X P_n joining two different vertices in K₆ from opposite sides. A145414

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. A266012

Number of non-descending integral vectors b of length n such that number of symmetric 0-1-matrices A of order n with row sums <= b is odd. A28506