42056352 has 144 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 12612096.

The previous prime is 42056303. The next prime is 42056359. The reversal of 42056352 is 25365024.

42056352 is a `hidden beast` number, since 4 + 20 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (42056359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175849 + ... + 176087.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^42056352 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 42056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

42056352 is an abundant number, since it is smaller than the sum of its proper divisors (90031968).

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

42056352 is a wasteful number, since it uses less digits than its factorization.

42056352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42056352 is about 6485.0868922475. The cubic root of 42056352 is about 347.7580561658.

It can be divided in two parts, 4 and 2056352, that added together give a square (2056356 = 1434²).

The spelling of 42056352 in words is "forty-two million, fifty-six thousand, three hundred fifty-two".