Properties of the Number 47200

Forty-Seven Thousand Two Hundred

Basics

Value: 47199 → 47200 → 47201

Parity: even

Prime: No

Previous Prime: 47189

Next Prime: 47207

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 ² × 59

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100001100000

Octal: 134140

Duodecimal: 23394

Hexadecimal: b860

Square: 2227840000

Square Root: 217.25560982400432

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

Expansion of ∏_k>=1 (1 + x^k * (1 + k·x)). A336980

Maximal coefficient of ∏_j=1..n (1 - x^prime(j)). A350514

Maximum of the absolute value of the coefficients of (1 - x²) * (1 - x³) * (1 - x⁵) * ... * (1 - x^prime(n)). A367843

Numbers k such that k and k² use only the digits 0, 2, 4, 7 and 8. A136906

Number of 0..1 arrays x(0..n-1) of n elements with each no smaller than the sum of its four previous neighbors modulo 2. A200462

Absolute value of the minimum coefficient of (1 - x²) * (1 - x³) * (1 - x⁵) * ... * (1 - x^prime(n)). A379976

Sixth (unsigned) column sequence of coefficient triangle A062137 of generalized Laguerre polynomials n!*L(n,3,x). A62144

Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= n/3. A47200