45633084 has 48 divisors (see below), whose sum is σ = 122454528. Its totient is φ = 12955968.

The previous prime is 45633073. The next prime is 45633131. The reversal of 45633084 is 48033654.

45633084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12402 + ... + 15654.

It is an arithmetic number, because the mean of its divisors is an integer number (2551136).

Almost surely, 2^45633084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45633084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61227264).

45633084 is an abundant number, since it is smaller than the sum of its proper divisors (76821444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45633084 is a wasteful number, since it uses less digits than its factorization.

45633084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 45633084 is about 6755.2264210758. The cubic root of 45633084 is about 357.3495779384.

The spelling of 45633084 in words is "forty-five million, six hundred thirty-three thousand, eighty-four".