42518784 has 144 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 11028480.

The previous prime is 42518767. The next prime is 42518797. The reversal of 42518784 is 48781524.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58777 + ... + 59495.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^42518784 is an apocalyptic number.

42518784 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 42518784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

42518784 is an abundant number, since it is smaller than the sum of its proper divisors (98762496).

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

42518784 is a wasteful number, since it uses less digits than its factorization.

42518784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 42518784 is about 6520.6429130876. The cubic root of 42518784 is about 349.0280079218.

The spelling of 42518784 in words is "forty-two million, five hundred eighteen thousand, seven hundred eighty-four".