42052416 has 112 divisors (see below), whose sum is σ = 129332736. Its totient is φ = 11810304.

The previous prime is 42052403. The next prime is 42052447. The reversal of 42052416 is 61425024.

It is a tau number, because it is divible by the number of its divisors (112).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89815 + ... + 90281.

Almost surely, 2^42052416 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 42052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64666368).

42052416 is an abundant number, since it is smaller than the sum of its proper divisors (87280320).

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

42052416 is a wasteful number, since it uses less digits than its factorization.

42052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42052416 is about 6484.7834196679. The cubic root of 42052416 is about 347.7472070840.

The spelling of 42052416 in words is "forty-two million, fifty-two thousand, four hundred sixteen".