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45381 = 372161
BaseRepresentation
bin1011000101000101
32022020210
423011011
52423011
6550033
7246210
oct130505
968223
1045381
1131106
1222319
131786b
1412777
15d6a6
hexb145

45381 has 8 divisors (see below), whose sum is σ = 69184. Its totient is φ = 25920.

The previous prime is 45377. The next prime is 45389. The reversal of 45381 is 18354.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45381 - 22 = 45377 is a prime.

It is a super-2 number, since 2×453812 = 4118870322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2161 = 45381 / (4 + 5 + 3 + 8 + 1).

It is a Duffinian number.

45381 is a lucky number.

It is a plaindrome in base 14.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (8648).

245381 is an apocalyptic number.

It is an amenable number.

45381 is a deficient number, since it is larger than the sum of its proper divisors (23803).

45381 is a wasteful number, since it uses less digits than its factorization.

45381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171.

The product of its digits is 480, while the sum is 21.

The square root of 45381 is about 213.0281671517. The cubic root of 45381 is about 35.6690344989.

The spelling of 45381 in words is "forty-five thousand, three hundred eighty-one".

Divisors: 1 3 7 21 2161 6483 15127 45381