42242832 has 60 divisors (see below), whose sum is σ = 122047744. Its totient is φ = 13625280.

The previous prime is 42242831. The next prime is 42242869. The reversal of 42242832 is 23824224.

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

It is a junction number, because it is equal to n+sod(n) for n = 42242796 and 42242805.

It is not an unprimeable number, because it can be changed into a prime (42242831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268 + ... + 9195.

Almost surely, 2^42242832 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 42242832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61023872).

42242832 is an abundant number, since it is smaller than the sum of its proper divisors (79804912).

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

42242832 is a wasteful number, since it uses less digits than its factorization.

42242832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9499 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42242832 is about 6499.4485919961. The cubic root of 42242832 is about 348.2712906347.

It can be divided in two parts, 4224 and 2832, that added together give a square (7056 = 84²).

The spelling of 42242832 in words is "forty-two million, two hundred forty-two thousand, eight hundred thirty-two".