42292992 has 72 divisors (see below), whose sum is σ = 128657536. Its totient is φ = 12082176.

The previous prime is 42292979. The next prime is 42293023. The reversal of 42292992 is 29929224.

It is a self number, because there is not a number n which added to its sum of digits gives 42292992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1443 + ... + 9309.

Almost surely, 2^42292992 is an apocalyptic number.

42292992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64328768).

42292992 is an abundant number, since it is smaller than the sum of its proper divisors (86364544).

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

42292992 is an equidigital number, since it uses as much as digits as its factorization.

42292992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7879 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 42292992 is about 6503.3062360618. The cubic root of 42292992 is about 348.4090842533.

The spelling of 42292992 in words is "forty-two million, two hundred ninety-two thousand, nine hundred ninety-two".