42205056 has 64 divisors (see below), whose sum is σ = 113097600. Its totient is φ = 13944320.

The previous prime is 42205019. The next prime is 42205073. The reversal of 42205056 is 65050224.

42205056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 49885 + ... + 50723.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^42205056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548800).

42205056 is an abundant number, since it is smaller than the sum of its proper divisors (70892544).

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

42205056 is a wasteful number, since it uses less digits than its factorization.

42205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42205056 is about 6496.5418493226. The cubic root of 42205056 is about 348.1674448514.

The spelling of 42205056 in words is "forty-two million, two hundred five thousand, fifty-six".