Properties of the Number 40189

Forty Thousand One Hundred Eighty-Nine

Basics

Value: 40188 → 40189 → 40190

Parity: odd

Prime: Yes

Previous Prime: 40177

Next Prime: 40193

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 40189

Divisors: 1, 40189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110011111101

Octal: 116375

Duodecimal: 1B311

Hexadecimal: 9cfd

Square: 1615155721

Square Root: 200.47194317410106

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

Primes which are triangular numbers plus 3. A159047

The least number s having exactly n fours in the continued fraction of sqrt(s). A206584

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new minimum. A372097

The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6·n, 0<k<n both primes. A139602

Primes with distinct nonprime digits. A155024

Least prime p such that π(p·n) = prime(q·n) for some prime q, where π(x) denotes the number of primes not exceeding x. A260197

Numbers k such that 203·2^k + 1 is prime. A32478

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 0, 1), (1, 1, -1), (1, 1, 0)}. A150599

Expansion of ∑_i>=1 μ(i)²*xⁱ / (1 - ∑_j>=1 μ(j)²*x^j)², where μ() is the Moebius function (A008683). A281812

Numbers k such that 5·10^k + 57 is prime. A295392