Properties of the Number 28642

Twenty-Eight Thousand Six Hundred Forty-Two

Basics

Value: 28641 → 28642 → 28643

Parity: even

Prime: No

Previous Prime: 28631

Next Prime: 28643

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 14321

Divisors: 1, 2, 14321, 28642

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111111100010

Octal: 67742

Duodecimal: 146AA

Hexadecimal: 6fe2

Square: 820364164

Square Root: 169.23947530053383

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 g.f.: (1 + x)/(1 - 3·x - 2·x²). A55099

Sum of 4th powers of primes dividing n. A5065

a(n) = n⁴ * ∑_{p∣n, p prime} 1/p⁴. A351244

T(n,k) = Number of n X k binary matrices with no 2 X 2 circuit having pattern 0101 in any orientation. A181245

T(n,k)=Number of 0..k arrays of length n+1 with 0 never adjacent to k. A212835

Sum of 4th powers of odd primes dividing n. A5068

Sums of two distinct prime 4th powers. A130873

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order. A252910

Number A(n,k) of 2-colorings of a k X n rectangle such that no nontrivial subsquare has monochromatic corners; square array A(n,k), n>=0, k>=0, read by antidiagonals. A255256

Expansion of (1 - x² + x³)/((1 - x² + x³)² - 4·x³). A376787