Properties of the Number 57412

Fifty-Seven Thousand Four Hundred Twelve

Basics

Value: 57411 → 57412 → 57413

Parity: even

Prime: No

Previous Prime: 57397

Next Prime: 57413

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 31 × 463

Divisors: 1, 2, 4, 31, 62, 124, 463, 926, 1852, 14353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000001000100

Octal: 160104

Duodecimal: 29284

Hexadecimal: e044

Square: 3296137744

Square Root: 239.60801322159492

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

Poincaré series for invariant polynomial functions on the space of binary forms of degree 12. A293937

T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it. A209019

Number of paths from (0,0) to (n,3), with vertices (i,k) satisfying 0 <= k <= 3, consisting of segments given by the vectors (1,1), (1,2), (1,-1). A247326

Number of sets of nonempty integer partitions with a total of n parts and total sum of 2n. A360714

Number of n X 3 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it. A209014

Numbers n, not divisible by 3, 5, 7 or 11, such that A000203(n)-n-1 and 2·n+1-A000203(n) are prime numbers. A180268

Number of n X n 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it. A209012

Multiples of 1852. A303272

Number of staircase polygons of perimeter 2n with 3 (staircase polygon) holes on square lattice (not allowing rotations). A57412