45083904 has 72 divisors (see below), whose sum is σ = 122640000. Its totient is φ = 14696448.

The previous prime is 45083891. The next prime is 45083911. The reversal of 45083904 is 40938054.

45083904 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 7 ways as a sum of consecutive naturals, for example, 35472 + ... + 36720.

Almost surely, 2^45083904 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 45083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61320000).

45083904 is an abundant number, since it is smaller than the sum of its proper divisors (77556096).

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

45083904 is a wasteful number, since it uses less digits than its factorization.

45083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45083904 is about 6714.4548550124. The cubic root of 45083904 is about 355.9102580679.

The spelling of 45083904 in words is "forty-five million, eighty-three thousand, nine hundred four".