42056652 has 96 divisors (see below), whose sum is σ = 115718400. Its totient is φ = 11750400.

The previous prime is 42056629. The next prime is 42056653. The reversal of 42056652 is 25665024.

42056652 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 (42056653) 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 31 ways as a sum of consecutive naturals, for example, 102624 + ... + 103032.

It is an arithmetic number, because the mean of its divisors is an integer number (1205400).

Almost surely, 2^42056652 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 42056652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57859200).

42056652 is an abundant number, since it is smaller than the sum of its proper divisors (73661748).

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

42056652 is a wasteful number, since it uses less digits than its factorization.

42056652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 42056652 is about 6485.1100221970. The cubic root of 42056652 is about 347.7588830498.

The spelling of 42056652 in words is "forty-two million, fifty-six thousand, six hundred fifty-two".