42782564 has 24 divisors (see below), whose sum is σ = 81854976. Its totient is φ = 19404000.

The previous prime is 42782563. The next prime is 42782581. The reversal of 42782564 is 46528724.

42782564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42782563) 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 7 ways as a sum of consecutive naturals, for example, 28349 + ... + 29819.

It is an arithmetic number, because the mean of its divisors is an integer number (3410624).

Almost surely, 2^42782564 is an apocalyptic number.

42782564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42782564 is a deficient number, since it is larger than the sum of its proper divisors (39072412).

42782564 is a wasteful number, since it uses less digits than its factorization.

42782564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2145 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 42782564 is about 6540.8381725892. The cubic root of 42782564 is about 349.7482924937.

The spelling of 42782564 in words is "forty-two million, seven hundred eighty-two thousand, five hundred sixty-four".