Properties of the Number 57078

Fifty-Seven Thousand Seventy-Eight

Basics

Value: 57077 → 57078 → 57079

Parity: even

Prime: No

Previous Prime: 57077

Next Prime: 57089

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 × 151

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111011110110

Octal: 157366

Duodecimal: 29046

Hexadecimal: def6

Square: 3257898084

Square Root: 238.91002490477456

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

a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-6), with a(0) = a(2) = a(3) = 1, a(1) = 0 and a(4) = a(5) = 2. A143438

Triangle read by rows: T(n,k) = (n+1-k)*|s(n,n+1-k)| - 2*|s(n-1,n-k)|, where s(n,k) are the signed Stirling numbers of the first kind and 1 <= k <= n. A199221

a(n) = n! * ∑_k=0..n binomial(k+4,5) / k!. A368576

Numbers m such that φ(m)*τ(m) is a square but φ(m)/τ(m) is not the square of an integer. A341940

Number of partitions of n that contain at least one odd prime as a part. A355193

Periodic sequence 1,0,-1,...; expansion of (1+x)/(1+x+x²). A57078

Irregular triangle T(n,k) for 1 <= k <= n/2 + 1: T(n,k) = number of double palindrome structures of length n using exactly k different symbols. A284877