Properties of the Number 49588

Forty-Nine Thousand Five Hundred Eighty-Eight

Basics

Value: 49587 → 49588 → 49589

Parity: even

Prime: No

Previous Prime: 49559

Next Prime: 49597

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 ² × 11 × 23

Divisors: 1, 2, 4, 7, 11, 14, 22, 23, 28, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000110110100

Octal: 140664

Duodecimal: 24844

Hexadecimal: c1b4

Square: 2458969744

Square Root: 222.68363208821614

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 noncrossing trees with n edges in which no border edges emanate from the root. A102594

Triangle, read by rows, such that the g.f. of column k = G(x)^2k+1 where G(x) = 1 + x·G(x)³ is the g.f. of A001764 (ternary trees). A143603

Inverse of Riordan array (1/(1-x), x/(1-x)³), A109955. A109956

Number of (w,x,y,z) with all terms in {1,...,n} and w<x>=y<=z. A212415

Number of partitions p of n such that (number of numbers of the form 3k+1 in p) is a part of p. A241547

The Fuss-Catalan triangle of order 2, read by rows. Related to ternary trees. A355172

Number of 2 X 2 matrices having all terms in {1,...,n} and determinant = 1 (mod 3). A211071

Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges in which the maximal number of contiguous border edges starting from the root in both directions is equal to k. A102595

Weight distribution of quadratic residue code of length 23 over GF(3). A112641

Number of 4-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187587