Properties of the Number 49815

Forty-Nine Thousand Eight Hundred Fifteen

Basics

Value: 49814 → 49815 → 49816

Parity: odd

Prime: No

Previous Prime: 49811

Next Prime: 49823

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 5 × 41

Divisors: 1, 3, 5, 9, 15, 27, 41, 45, 81, 123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001010010111

Octal: 141227

Duodecimal: 249B3

Hexadecimal: c297

Square: 2481534225

Square Root: 223.1927418174704

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

Triangle read by rows: T(n,k) is the number of paths in the right half-plane from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k H=(2,0) steps (0 <= k <= floor(n/2)). A132885

Euler transform of j-> ceiling(2^j-2). A347011

Expansion of (1 - 2·x + 3·x²)/(1 - 2·x - 3·x²)^5/2. A373651

Weight distribution of [42,21,10] binary extended quadratic-residue (or QR) code. A145648

Number of (n+2)X6 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order. A203919

a(n) = ∑_k=1..n T(n,k), array T as in A049805. A49815