Properties of the Number 49839

Forty-Nine Thousand Eight Hundred Thirty-Nine

Basics

Value: 49838 → 49839 → 49840

Parity: odd

Prime: No

Previous Prime: 49831

Next Prime: 49843

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 37 × 449

Divisors: 1, 3, 37, 111, 449, 1347, 16613, 49839

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001010101111

Octal: 141257

Duodecimal: 24A13

Hexadecimal: c2af

Square: 2483925921

Square Root: 223.24650053248314

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

Expansion of (1 - 2·x²)/(1 + x)⁵. Fourth column of Riordan triangle A248156. A248160

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) * (1-x²¹) / (1-x)⁷. A162595

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259002

Number of (7+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259012

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259006

a(n) = Max_k=1..n T(n,k), array T as in A049837. A49839