Properties of the Number 49600

Forty-Nine Thousand Six Hundred

Basics

Value: 49599 → 49600 → 49601

Parity: even

Prime: No

Previous Prime: 49597

Next Prime: 49603

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 5 ² × 31

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000111000000

Octal: 140700

Duodecimal: 24854

Hexadecimal: c1c0

Square: 2460160000

Square Root: 222.71057451320087

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

Larger of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = ψ(n) - n and ψ(n) = A001615(n) is the Dedekind ψ function. A323330

Number of possible queen moves on an n X n chessboard. A35005

Number of ways to partition the set of vertices of a convex {n+8}-gon into 3 non-intersecting polygons. A350116

Triangle, read by rows, where T(n,k) = ∑_i=k..n-1 T(n-1,i)*T(i+1,k+1) for n>k with T(n,n) = n+1 for n>=0. A152541

Column 2 of triangle A152541. A152544

a(n) = permanent M_n where M_n is the n X n matrix m(i,j) = (i-j)². A278857

Number of minimal dominating sets in the 2 X n king graph. A286850

a(n) = n²*(n³-n+2)/2. A101377

First differences of harmonic (or Ore) numbers A001599. A153789

Expansion of g.f.: x*(1 - x)*(1 + x)/(1 - x - 9·x² - x³ + x⁴). A171066