45993504 has 48 divisors (see below), whose sum is σ = 122405472. Its totient is φ = 15118848.

The previous prime is 45993487. The next prime is 45993523. The reversal of 45993504 is 40539954.

45993504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 3727 + ... + 10289.

It is an arithmetic number, because the mean of its divisors is an integer number (2550114).

Almost surely, 2^45993504 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 45993504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61202736).

45993504 is an abundant number, since it is smaller than the sum of its proper divisors (76411968).

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

45993504 is a wasteful number, since it uses less digits than its factorization.

45993504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 45993504 is about 6781.8510747435. The cubic root of 45993504 is about 358.2879200185.

The spelling of 45993504 in words is "forty-five million, nine hundred ninety-three thousand, five hundred four".