42727824 has 50 divisors (see below), whose sum is σ = 123670470. Its totient is φ = 14242176.

The previous prime is 42727823. The next prime is 42727831. The reversal of 42727824 is 42872724.

42727824 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., 34433424 + 8294400 = 5868^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42727823) 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 9 ways as a sum of consecutive naturals, for example, 15189 + ... + 17780.

Almost surely, 2^42727824 is an apocalyptic number.

It is an amenable number.

42727824 is an abundant number, since it is smaller than the sum of its proper divisors (80942646).

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

42727824 is a wasteful number, since it uses less digits than its factorization.

42727824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32989 (or 32974 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 42727824 is about 6536.6523542254. The cubic root of 42727824 is about 349.5990619744.

The spelling of 42727824 in words is "forty-two million, seven hundred twenty-seven thousand, eight hundred twenty-four".