42638232 has 96 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 11241216.

The previous prime is 42638231. The next prime is 42638243. The reversal of 42638232 is 23283624.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42638232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42638231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13894 + ... + 16682.

Almost surely, 2^42638232 is an apocalyptic number.

42638232 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 42638232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

42638232 is an abundant number, since it is smaller than the sum of its proper divisors (90946968).

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

42638232 is a wasteful number, since it uses less digits than its factorization.

42638232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2814 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42638232 is about 6529.7957089024. The cubic root of 42638232 is about 349.3545437400.

The spelling of 42638232 in words is "forty-two million, six hundred thirty-eight thousand, two hundred thirty-two".