42533952 has 56 divisors (see below), whose sum is σ = 116433600. Its totient is φ = 13687296.

The previous prime is 42533941. The next prime is 42533963. The reversal of 42533952 is 25933524.

It is an interprime number because it is at equal distance from previous prime (42533941) and next prime (42533963).

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, 1749 + ... + 9387.

Almost surely, 2^42533952 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 42533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58216800).

42533952 is an abundant number, since it is smaller than the sum of its proper divisors (73899648).

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

42533952 is a wasteful number, since it uses less digits than its factorization.

42533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7673 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 42533952 is about 6521.8058848758. The cubic root of 42533952 is about 349.0695066582.

The spelling of 42533952 in words is "forty-two million, five hundred thirty-three thousand, nine hundred fifty-two".