42624052 has 24 divisors (see below), whose sum is σ = 75813192. Its totient is φ = 20966400.

The previous prime is 42624041. The next prime is 42624053. The reversal of 42624052 is 25042624.

It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 36650916 = 2444^2 + 6054^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42624053) 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, 81552 + ... + 82072.

It is an arithmetic number, because the mean of its divisors is an integer number (3158883).

Almost surely, 2^42624052 is an apocalyptic number.

It is an amenable number.

42624052 is a deficient number, since it is larger than the sum of its proper divisors (33189140).

42624052 is a wasteful number, since it uses less digits than its factorization.

42624052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42624052 is about 6528.7098266043. The cubic root of 42624052 is about 349.3158117033.

Adding to 42624052 its reverse (25042624), we get a palindrome (67666676).

The spelling of 42624052 in words is "forty-two million, six hundred twenty-four thousand, fifty-two".