Properties of the Number 49247

Forty-Nine Thousand Two Hundred Forty-Seven

Basics

Value: 49246 → 49247 → 49248

Parity: odd

Prime: No

Previous Prime: 49223

Next Prime: 49253

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 11 ³ × 37

Divisors: 1, 11, 37, 121, 407, 1331, 4477, 49247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000001011111

Octal: 140137

Duodecimal: 245BB

Hexadecimal: c05f

Square: 2425267009

Square Root: 221.91665102015216

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

Subdiagonal partitions: number of partitions (p1, p2, p3, ...) of n with π <= i. A238875

Number of times an odious number is encountered when iterating from 2ⁿ⁺¹-2 to (2ⁿ)-2 with the map x -> x - (number of runs in binary representation of x). A255064

a(n) = n³ - n² - n. A152015

a(n) = 36·n² - n. A157286

Gaps of 9 in sequence A038593 (upper terms). A38658

a(n) = 38·n² - 1. A158596

a(n) = 1369·n² - 37. A158743

Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y<3z. A212520

Number of 3Xn 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally. A232151

Smallest nonnegative value taken on by 8x² - ny² for an infinite number of integer pairs (x, y). A49247