42533904 has 80 divisors (see below), whose sum is σ = 126305408. Its totient is φ = 12082176.

The previous prime is 42533903. The next prime is 42533921. The reversal of 42533904 is 40933524.

It is not an unprimeable number, because it can be changed into a prime (42533903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92844 + ... + 93300.

Almost surely, 2^42533904 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 42533904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63152704).

42533904 is an abundant number, since it is smaller than the sum of its proper divisors (83771504).

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

42533904 is a wasteful number, since it uses less digits than its factorization.

42533904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 42533904 is about 6521.8022049124. The cubic root of 42533904 is about 349.0693753486.

The spelling of 42533904 in words is "forty-two million, five hundred thirty-three thousand, nine hundred four".