Properties of the Number 49049

Forty-Nine Thousand Forty-Nine

Basics

Value: 49048 → 49049 → 49050

Parity: odd

Prime: No

Previous Prime: 49043

Next Prime: 49057

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 ³ × 11 × 13

Divisors: 1, 7, 11, 13, 49, 77, 91, 143, 343, 539

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011111110011001

Octal: 137631

Duodecimal: 24475

Hexadecimal: bf99

Square: 2405804401

Square Root: 221.47008827378923

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

Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice. A5902

G.f. A(x) satisfies A(x) = 1 + x³*(1+x)*A(x)². A366588

Number of labeled 3-node T₀-hypergraphs with n hyperedges (empty hyperedges and multiple hyperedges included). A59585

Monotonic ordering of nonnegative differences 3ⁱ-10^j, for 40>= i>=0, j>=0. A192159

a(n) = 3ⁿ - n⁴. A24027

Number of maximal independent vertex sets (and minimal vertex covers) in the n-Mycielski graph. A290609

Numbers k such that k-1, k and k+1 are all composite with four, five and six (not necessarily distinct) prime factors respectively. A342246

a(n) = (n+1)²*binomial(2·n+2,n-1)/2. A49070

a(n)! == 1 (mod A049048(n)). A49049