Properties of the Number 49640

Forty-Nine Thousand Six Hundred Forty

Basics

Value: 49639 → 49640 → 49641

Parity: even

Prime: No

Previous Prime: 49639

Next Prime: 49663

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 5 × 17 × 73

Divisors: 1, 2, 4, 5, 8, 10, 17, 20, 34, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100000111101000

Octal: 140750

Duodecimal: 24888

Hexadecimal: c1e8

Square: 2464129600

Square Root: 222.80035906613796

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

Consider primitive pairs of integers (b, c) with b < 0 such that x⁵ + b·x + c = 0 is irreducible and solvable by radicals: sequence gives values of b. A371557

Number of (n+1)X5 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors. A205068

Expansion of g.f. (1+z+z²-sqrt(1+2·z-z²-6·z³-3·z⁴))/(2·z²*(1+z)). A359140

a(n) = ∑_i=0..n T(i,n-i), array T as in A049639. A49640

Least positive number with exactly n partitions into a square and a cube. A122054

Square numbers s such that all the digits needed to write the consecutive square numbers from 0 to s fill exactly a square (no holes, no overlaps). A158028

Sides of squares which are filled exactly (no holes, no overlaps) by the digits needed to write a subsequence of consecutive square numbers, starting with 0. A158029

Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. A297610