Properties of the Number 49504

Forty-Nine Thousand Five Hundred Four

Basics

Value: 49503 → 49504 → 49505

Parity: even

Prime: No

Previous Prime: 49499

Next Prime: 49523

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 7 × 13 × 17

Divisors: 1, 2, 4, 7, 8, 13, 14, 16, 17, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000101100000

Octal: 140540

Duodecimal: 24794

Hexadecimal: c160

Square: 2450646016

Square Root: 222.49494376277408

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 3 X 3 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation. A58389

Seventh column (m=6) of (1,6)-Pascal triangle A096956. A97297

Number of different fixed (possibly) disconnected trominoes bounded (not necessarily tightly) by an n·n square. A162673

Number of arrays of 2n nondecreasing integers in -3..3 with sum zero and equal numbers greater than zero and less than zero. A203286

Triangle read by rows: T(n,k) = binomial(n+1,k+1) * binomial(5·n-4·k+1,k) / (n+1), 0<=k<=n. A391048

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(2i-1 if i=j and 1 otherwise) for i>=1 and j>=1 (as in A204131). A204132

Number of odd singletons in all partitions of n (n>=0). A265257

Denominators of the partial alternating sums of the reciprocals of the sum of unitary divisors function (A034448). A379516

Least nonsquare having square residues for all moduli 2 through n. A18883

a(n) is square mod a(i), i < n; a(n) nonsquare; a(1) = 2. A34901