Properties of the Number 49709

Forty-Nine Thousand Seven Hundred Nine

Basics

Value: 49708 → 49709 → 49710

Parity: odd

Prime: No

Previous Prime: 49697

Next Prime: 49711

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 11 × 4519

Divisors: 1, 11, 4519, 49709

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001000101101

Octal: 141055

Duodecimal: 24925

Hexadecimal: c22d

Square: 2470984681

Square Root: 222.95515244102344

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

Numerators of continued fraction convergents to sqrt(279). A41524

Numerators of continued fraction convergents to sqrt(496). A41946

Number of 3 X n 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224147

Number of nX7 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301905

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301906

Smallest odd k > 1 such that k·2ⁿ+1 is a prime number. A247479

Smallest odd k > 1 such that k·2^prime(n) + 1 is prime. A253398

a(n) = (1/2) * ∑_i=0..n T(i,n-i), array T as in A049704. A49709