45538592 has 72 divisors (see below), whose sum is σ = 103899600. Its totient is φ = 19578240.

The previous prime is 45538589. The next prime is 45538621. The reversal of 45538592 is 29583554.

45538592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45538592² = 4147526722684928, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 73259 + ... + 73877.

It is an arithmetic number, because the mean of its divisors is an integer number (1443050).

Almost surely, 2^45538592 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 45538592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51949800).

45538592 is an abundant number, since it is smaller than the sum of its proper divisors (58361008).

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

45538592 is a wasteful number, since it uses less digits than its factorization.

45538592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 651 counting only the distinct ones).

The product of its digits is 216000, while the sum is 41.

The square root of 45538592 is about 6748.2288046568. The cubic root of 45538592 is about 357.1027540189.

The spelling of 45538592 in words is "forty-five million, five hundred thirty-eight thousand, five hundred ninety-two".