Properties of the Number 49716

Forty-Nine Thousand Seven Hundred Sixteen

Basics

Value: 49715 → 49716 → 49717

Parity: even

Prime: No

Previous Prime: 49711

Next Prime: 49727

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1381

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001000110100

Octal: 141064

Duodecimal: 24930

Hexadecimal: c234

Square: 2471680656

Square Root: 222.97085011274456

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

Number of edges in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row. A369177

Number of nX6 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. A266010

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself. A266012

a(n) = 2·n + 1 - prevprime(2·n + 1). A49716

Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252565

Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7. A252581