42933924 has 72 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 12916800.

The previous prime is 42933899. The next prime is 42933941.

42933924 is nontrivially palindromic in base 10.

42933924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71377 + ... + 71975.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 2^42933924 is an apocalyptic number.

42933924 is a gapful number since it is divisible by the number (44) 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 42933924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623200).

42933924 is an abundant number, since it is smaller than the sum of its proper divisors (76312476).

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

42933924 is a wasteful number, since it uses less digits than its factorization.

42933924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 796 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 42933924 is about 6552.3983395395. The cubic root of 42933924 is about 350.1602640193.

The spelling of 42933924 in words is "forty-two million, nine hundred thirty-three thousand, nine hundred twenty-four".