42891984 has 80 divisors (see below), whose sum is σ = 126033600. Its totient is φ = 13958784.

The previous prime is 42891943. The next prime is 42892001. The reversal of 42891984 is 48919824.

42891984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 17422 + ... + 19730.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2^42891984 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 42891984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63016800).

42891984 is an abundant number, since it is smaller than the sum of its proper divisors (83141616).

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

42891984 is a wasteful number, since it uses less digits than its factorization.

42891984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2357 counting only the distinct ones).

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

The square root of 42891984 is about 6549.1972027112. The cubic root of 42891984 is about 350.0462088650.

The spelling of 42891984 in words is "forty-two million, eight hundred ninety-one thousand, nine hundred eighty-four".