42053856 has 96 divisors (see below), whose sum is σ = 122830848. Its totient is φ = 12510720.

The previous prime is 42053831. The next prime is 42053873. The reversal of 42053856 is 65835024.

It is a tau number, because it is divible by the number of its divisors (96).

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, 38145 + ... + 39231.

It is an arithmetic number, because the mean of its divisors is an integer number (1279488).

Almost surely, 2^42053856 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 42053856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415424).

42053856 is an abundant number, since it is smaller than the sum of its proper divisors (80776992).

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

42053856 is a wasteful number, since it uses less digits than its factorization.

42053856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 42053856 is about 6484.8944478688. The cubic root of 42053856 is about 347.7511763388.

The spelling of 42053856 in words is "forty-two million, fifty-three thousand, eight hundred fifty-six".