Properties of the Number 38832

Thirty-Eight Thousand Eight Hundred Thirty-Two

Basics

Value: 38831 → 38832 → 38833

Parity: even

Prime: No

Previous Prime: 38821

Next Prime: 38833

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 809

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011110110000

Octal: 113660

Duodecimal: 1A580

Hexadecimal: 97b0

Square: 1507924224

Square Root: 197.05836698805763

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 of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is a part. A241414

Partial sums of floor(4ⁿ/9). A178744

Number of (n+1)X8 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors. A205071

Irregular triangle read by rows: T(N,k) (0 <= k <= 4·N²) are coefficients of exact wrapping probability for site percolation on a 2·N X 2·N 2D union jack lattice with periodic boundary conditions. This is for the probability that it wraps in both dimensions. A365951

Irregular triangle read by rows: T(N,k) (0 <= k <= 4·N²) are coefficients of exact wrapping probability for site percolation on a 2·N X 2·N 2D hexagonal lattice with periodic boundary conditions. This is for the probability that it wraps in both dimensions. A365952

Number of primes between n·10¹² and (n+1)*10¹². A38832

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors. A205072

O.g.f. A(x) satisfies: [xⁿ] exp(-n·A(x)) / (1 - n·x) = 0, for n > 0. A319938

Table with g.f. [1-x·n-sqrt(x²*n²-2·n*x+1+4·x²-4·x)]/(2·x). A128888

Expansion of 1/(2 - g²)², where g = 1+x·g³ is the g.f. of A001764. A390424