42182184 has 64 divisors (see below), whose sum is σ = 120061440. Its totient is φ = 12224960.

The previous prime is 42182123. The next prime is 42182209. The reversal of 42182184 is 48128124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2599 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (1875960).

Almost surely, 2^42182184 is an apocalyptic number.

42182184 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 42182184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60030720).

42182184 is an abundant number, since it is smaller than the sum of its proper divisors (77879256).

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

42182184 is a wasteful number, since it uses less digits than its factorization.

42182184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990 (or 6986 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 42182184 is about 6494.7812896202. The cubic root of 42182184 is about 348.1045398705.

The spelling of 42182184 in words is "forty-two million, one hundred eighty-two thousand, one hundred eighty-four".