Properties of the Number 28816

Twenty-Eight Thousand Eight Hundred Sixteen

Basics

Value: 28815 → 28816 → 28817

Parity: even

Prime: No

Previous Prime: 28813

Next Prime: 28817

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 1801

Divisors: 1, 2, 4, 8, 16, 1801, 3602, 7204, 14408, 28816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000010010000

Octal: 70220

Duodecimal: 14814

Hexadecimal: 7090

Square: 830361856

Square Root: 169.75276139138356

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

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and first differences in -k..k. A208993

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0. A256748

Binomial transform of A048654: generalized Pellian with second term equal to 4. A111567

Triangle T, read by rows, where row n+1 of T equals row n of matrix power Tⁿ added to row n of T (shifted right). A130528

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0. A256742

Number of (n+2)X(7+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0. A256747

Number of n-bead necklaces labeled with numbers -4..4 not allowing reversal, with sum zero and first differences in -4..4. A208989

Numbers k such that k² is a palindrome with an odd number of digits. A28816

E.g.f.: 2*∏_n>=1 ((exp(xⁿ) + 1)/2). A203709

Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283946