42981136 has 45 divisors (see below), whose sum is σ = 92153173. Its totient is φ = 19405760.

The previous prime is 42981091. The next prime is 42981139. The reversal of 42981136 is 63118924.

The square root of 42981136 is 6556.

It is a perfect power (a square), and thus also a powerful number.

42981136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5035536 + 37945600 = 2244^2 + 6160^2 .

It is a Duffinian number.

Its product of digits (10368) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (42981139) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 288390 + ... + 288538.

Almost surely, 2^42981136 is an apocalyptic number.

42981136 is the 6556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42981136

42981136 is an abundant number, since it is smaller than the sum of its proper divisors (49172037).

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

42981136 is a wasteful number, since it uses less digits than its factorization.

42981136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 162 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The cubic root of 42981136 is about 350.2885674591.

The spelling of 42981136 in words is "forty-two million, nine hundred eighty-one thousand, one hundred thirty-six".