42582592 has 84 divisors (see below), whose sum is σ = 95195136. Its totient is φ = 18869760.

The previous prime is 42582563. The next prime is 42582607. The reversal of 42582592 is 29528524.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335233 + ... + 335359.

Almost surely, 2^42582592 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 42582592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47597568).

42582592 is an abundant number, since it is smaller than the sum of its proper divisors (52612544).

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

42582592 is a wasteful number, since it uses less digits than its factorization.

42582592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 42582592 is about 6525.5338478932. The cubic root of 42582592 is about 349.2025162663.

The spelling of 42582592 in words is "forty-two million, five hundred eighty-two thousand, five hundred ninety-two".