45693024 has 192 divisors, whose sum is σ = 142248960. Its totient is φ = 12718080.

The previous prime is 45693017. The next prime is 45693029. The reversal of 45693024 is 42039654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45693029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972169 + ... + 972215.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 2^45693024 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 45693024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

45693024 is an abundant number, since it is smaller than the sum of its proper divisors (96555936).

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

45693024 is a wasteful number, since it uses less digits than its factorization.

45693024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 45693024 is about 6759.6615299880. The cubic root of 45693024 is about 357.5059715044.

The spelling of 45693024 in words is "forty-five million, six hundred ninety-three thousand, twenty-four".