Properties of the Number 39872

Thirty-Nine Thousand Eight Hundred Seventy-Two

Basics

Value: 39871 → 39872 → 39873

Parity: even

Prime: No

Previous Prime: 39869

Next Prime: 39877

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 7 × 89

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101111000000

Octal: 115700

Duodecimal: 1B0A8

Hexadecimal: 9bc0

Square: 1589776384

Square Root: 199.67974358957895

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

Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges and k leaves. A91320

Row sums of the array A274196, defined by g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,4k) for n > 0, k > 1. A274197

G.f.: A(x) = exp( 2*∑_n>=1 2ⁿ/A006519(n) * xⁿ/n ), where A006519(n) = highest power of 2 dividing n. A162588

Number of non-symmetric binary n X n matrices M over the reals such that M² is the transpose of M. A336174

Number of partitions satisfying cn(1,5) < cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5). A39872