42562576 has 45 divisors (see below), whose sum is σ = 96342141. Its totient is φ = 18162816.

The previous prime is 42562573. The next prime is 42562607. The reversal of 42562576 is 67526524.

The square root of 42562576 is 6524.

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

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 33918976 = 2940^2 + 5824^2 .

It is not an unprimeable number, because it can be changed into a prime (42562571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182556 + ... + 182788.

Almost surely, 2^42562576 is an apocalyptic number.

42562576 is the 6524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42562576

42562576 is an abundant number, since it is smaller than the sum of its proper divisors (53779565).

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

42562576 is an equidigital number, since it uses as much as digits as its factorization.

42562576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 242 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The cubic root of 42562576 is about 349.1477933331.

It can be divided in two parts, 425 and 62576, that added together give a square (63001 = 251²).

The spelling of 42562576 in words is "forty-two million, five hundred sixty-two thousand, five hundred seventy-six".