Properties of the Number 42864

Forty-Two Thousand Eight Hundred Sixty-Four

Basics

Value: 42863 → 42864 → 42865

Parity: even

Prime: No

Previous Prime: 42863

Next Prime: 42899

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 19 × 47

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011101110000

Octal: 123560

Duodecimal: 20980

Hexadecimal: a770

Square: 1837322496

Square Root: 207.03622871372053

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 nodes in row n of the power tree A114622. A114623

Expansion of ∏_k>0 (1 + A004001(k)*x^k). A147869

Infinite product of triangle A167271 columns. A167273

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood. A270727

Numerators of continued fraction convergents to sqrt(964). A42864

G.f.: exp( ∑_n>=1 A322185(n)*xⁿ/n ), where A322185(n) = σ(2·n) * binomial(2·n,n)/2. A322186

A triangular sequence based on concepts of operations on existing sequences: in this case the H(x,n) ( A060821) traditional Hermite is differentiated twice : p(x,n)=-x²*H''(x,n)+H(x,n). A137449