42824232 has 96 divisors (see below), whose sum is σ = 127764000. Its totient is φ = 12850560.

The previous prime is 42824179. The next prime is 42824263. The reversal of 42824232 is 23242824.

42824232 is a `hidden beast` number, since 428 + 2 + 4 + 232 = 666.

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 = 42824196 and 42824205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109894 + ... + 110282.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 2^42824232 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 42824232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63882000).

42824232 is an abundant number, since it is smaller than the sum of its proper divisors (84939768).

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

42824232 is a wasteful number, since it uses less digits than its factorization.

42824232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

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

The square root of 42824232 is about 6544.0226160978. The cubic root of 42824232 is about 349.8618012212.

The spelling of 42824232 in words is "forty-two million, eight hundred twenty-four thousand, two hundred thirty-two".