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45387 = 33412
BaseRepresentation
bin1011000101001011
32022021000
423011023
52423022
6550043
7246216
oct130513
968230
1045387
1131111
1222323
1317874
141277d
15d6ac
hexb14b

45387 has 12 divisors (see below), whose sum is σ = 68920. Its totient is φ = 29520.

The previous prime is 45377. The next prime is 45389. The reversal of 45387 is 78354.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45387 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45387 - 27 = 45259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

45387 is a Rhonda number in base 14.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 45387.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087 + ... + 1127.

245387 is an apocalyptic number.

45387 is a deficient number, since it is larger than the sum of its proper divisors (23533).

45387 is an equidigital number, since it uses as much as digits as its factorization.

45387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 45387 is about 213.0422493310. The cubic root of 45387 is about 35.6706064106.

Multiplying 45387 by its sum of digits (27), we get a square (1225449 = 11072).

45387 divided by its sum of digits (27) gives a square (1681 = 412).

The spelling of 45387 in words is "forty-five thousand, three hundred eighty-seven".

Divisors: 1 3 9 27 41 123 369 1107 1681 5043 15129 45387