Properties of the Number 49142

Forty-Nine Thousand One Hundred Forty-Two

Basics

Value: 49141 → 49142 → 49143

Parity: even

Prime: No

Previous Prime: 49139

Next Prime: 49157

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 24571

Divisors: 1, 2, 24571, 49142

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011111111110110

Octal: 137766

Duodecimal: 24532

Hexadecimal: bff6

Square: 2414936164

Square Root: 221.67994947671744

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 numbers k in interval [(p_n)²+1, (p_n)⁴] for which lpf(k-3)>lpf(k-1)>=p_n, where p_n=prime(n) and lpf = A020639. A243803

G.f.: ∏_k>0 (1+x^k)/((1-x^k)*(1+x^3k)*(1+x^5k)). A100823

Number of rooted compound windmills with n nodes and leaves of 2 colors where any 2 submills extending from the same node are different. A32161

Monotonically increasing sequence of least positive integers, a(1)=1, such that the self-convolution produces all squares. A87150

Number of nX6 0..1 arrays with every element unequal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A305358

First component A of the pairs (A, B), listed in increasing order, such that the multiset of digits of A union the multiset of digits of B equals the multiset of digits of A² and the multiset of digits of B², for some B >= A. Note that terms may be repeated. A389379

n is equal to the number of 1's in all numbers <= n written in base 8. A14885

Number of permutations of length n which avoid the patterns 1234, 2431, 4213. A116813

a(n) is the smallest number k for which A000120(k) = A000120(k') = n, or -1 if no such k exists, where k' is the arithmetic derivative of k (A003415). A350553

a(n) = 5·a(n-1) - a(n-2), with a(0) = 2, a(1) = 5. A3501