42564288 has 56 divisors (see below), whose sum is σ = 121288048. Its totient is φ = 13095936.

The previous prime is 42564251. The next prime is 42564289. The reversal of 42564288 is 88246524.

It is a super-2 number, since 2×42564288² = 3623437225893888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42564289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6031 + ... + 11022.

It is an arithmetic number, because the mean of its divisors is an integer number (2165858).

Almost surely, 2^42564288 is an apocalyptic number.

42564288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42564288 is an abundant number, since it is smaller than the sum of its proper divisors (78723760).

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

42564288 is a wasteful number, since it uses less digits than its factorization.

42564288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17081 (or 17071 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 42564288 is about 6524.1312065286. The cubic root of 42564288 is about 349.1524745426.

The spelling of 42564288 in words is "forty-two million, five hundred sixty-four thousand, two hundred eighty-eight".