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45389 is a prime number
BaseRepresentation
bin1011000101001101
32022021002
423011031
52423024
6550045
7246221
oct130515
968232
1045389
1131113
1222325
1317876
1412781
15d6ae
hexb14d

45389 has 2 divisors, whose sum is σ = 45390. Its totient is φ = 45388.

The previous prime is 45377. The next prime is 45403. The reversal of 45389 is 98354.

45389 = 1222 + 1232 + 1242.

45389 is nontrivially palindromic in base 11.

45389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42025 + 3364 = 205^2 + 58^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45389 is a prime.

It is a super-2 number, since 2×453892 = 4120322642, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22694 + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (22695).

245389 is an apocalyptic number.

It is an amenable number.

45389 is a deficient number, since it is larger than the sum of its proper divisors (1).

45389 is an equidigital number, since it uses as much as digits as its factorization.

45389 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 45389 is about 213.0469431839. The cubic root of 45389 is about 35.6711303504.

It can be divided in two parts, 45 and 389, that added together give a palindrome (434).

The spelling of 45389 in words is "forty-five thousand, three hundred eighty-nine".