42989184 has 128 divisors (see below), whose sum is σ = 145084800. Its totient is φ = 12275712.

The previous prime is 42989137. The next prime is 42989203. The reversal of 42989184 is 48198924.

42989184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 23304 + ... + 25080.

It is an arithmetic number, because the mean of its divisors is an integer number (1133475).

Almost surely, 2^42989184 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 42989184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72542400).

42989184 is an abundant number, since it is smaller than the sum of its proper divisors (102095616).

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

42989184 is a wasteful number, since it uses less digits than its factorization.

42989184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1789 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 42989184 is about 6556.6137601661. The cubic root of 42989184 is about 350.3104293480.

The spelling of 42989184 in words is "forty-two million, nine hundred eighty-nine thousand, one hundred eighty-four".