Properties of the Number 36572

Thirty-Six Thousand Five Hundred Seventy-Two

Basics

Value: 36571 → 36572 → 36573

Parity: even

Prime: No

Previous Prime: 36571

Next Prime: 36583

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 41 × 223

Divisors: 1, 2, 4, 41, 82, 164, 223, 446, 892, 9143

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111011011100

Octal: 107334

Duodecimal: 191B8

Hexadecimal: 8edc

Square: 1337511184

Square Root: 191.23807152342863

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 ∏_k>=1 (1 + x^k²)²/(1 - x^k²)². A279227

Number of (n+2) X (3+2) 0..1 arrays with no 3·3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3. A255796

Number of nX6 0..1 arrays with every element unequal to 0, 1, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318348

Number of permutations of length n which avoid the patterns 4123 and 3412. A165544

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318350

Number of tetrahedra in largest triangulation of polygonal prism with regular polygonal base. A36572