42033992 has 128 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 14515200.

The previous prime is 42033989. The next prime is 42034001. The reversal of 42033992 is 29933024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232142 + ... + 232322.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^42033992 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 42033992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

42033992 is an abundant number, since it is smaller than the sum of its proper divisors (68039608).

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

42033992 is a wasteful number, since it uses less digits than its factorization.

42033992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 42033992 is about 6483.3627077312. The cubic root of 42033992 is about 347.6964146759.

The spelling of 42033992 in words is "forty-two million, thirty-three thousand, nine hundred ninety-two".