Properties of the Number 49293

Forty-Nine Thousand Two Hundred Ninety-Three

Basics

Value: 49292 → 49293 → 49294

Parity: odd

Prime: No

Previous Prime: 49279

Next Prime: 49297

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5477

Divisors: 1, 3, 9, 5477, 16431, 49293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100000010001101

Octal: 140215

Duodecimal: 24639

Hexadecimal: c08d

Square: 2429799849

Square Root: 222.02026934494066

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302367

Row 3 of rectangular table A124460. A124463

T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281955

Number of ways to select 4 numbers from the set of the first n natural numbers avoiding 3-term arithmetic progressions. A300760

Number of Twopins positions. A5685

Number of nondecreasing -2..2 vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -2..2 vector equals n. A226416

Number of length n+4 0..2 arrays with at most one downstep in every n consecutive neighbor pairs. A255111

Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101. A261286

Number of nX3 0..1 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281950

Number of n X 7 0..1 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281954