42307056 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 12337920.

The previous prime is 42307049. The next prime is 42307061. The reversal of 42307056 is 65070324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137655 + ... + 137961.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^42307056 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 42307056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

42307056 is an abundant number, since it is smaller than the sum of its proper divisors (95184144).

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

42307056 is a wasteful number, since it uses less digits than its factorization.

42307056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 42307056 is about 6504.3874423346. The cubic root of 42307056 is about 348.4476996525.

Subtracting from 42307056 its product of nonzero digits (5040), we obtain a square (42302016 = 6504²).

The spelling of 42307056 in words is "forty-two million, three hundred seven thousand, fifty-six".