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45589 is a prime number
BaseRepresentation
bin1011001000010101
32022112111
423020111
52424324
6551021
7246625
oct131025
968474
1045589
1131285
1222471
131799b
1412885
15d794
hexb215

45589 has 2 divisors, whose sum is σ = 45590. Its totient is φ = 45588.

The previous prime is 45587. The next prime is 45599. The reversal of 45589 is 98554.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 12100 = 183^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 45589 - 21 = 45587 is a prime.

Together with 45587, it forms a pair of twin primes.

It is a plaindrome in base 10 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 45589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45587) 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 as a sum of consecutive naturals, namely, 22794 + 22795.

It is an arithmetic number, because the mean of its divisors is an integer number (22795).

245589 is an apocalyptic number.

It is an amenable number.

45589 is a deficient number, since it is larger than the sum of its proper divisors (1).

45589 is an equidigital number, since it uses as much as digits as its factorization.

45589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 31.

The square root of 45589 is about 213.5158073773. The cubic root of 45589 is about 35.7234467927.

The spelling of 45589 in words is "forty-five thousand, five hundred eighty-nine".