42738592 has 48 divisors (see below), whose sum is σ = 91953792. Its totient is φ = 19434240.

The previous prime is 42738569. The next prime is 42738593. The reversal of 42738592 is 29583724.

It is a super-2 number, since 2×42738592² = 3653174492284928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42738593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28813 + ... + 30259.

It is an arithmetic number, because the mean of its divisors is an integer number (1915704).

Almost surely, 2^42738592 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 42738592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45976896).

42738592 is an abundant number, since it is smaller than the sum of its proper divisors (49215200).

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

42738592 is a wasteful number, since it uses less digits than its factorization.

42738592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1533 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 42738592 is about 6537.4759655390. The cubic root of 42738592 is about 349.6284274335.

The spelling of 42738592 in words is "forty-two million, seven hundred thirty-eight thousand, five hundred ninety-two".