42113952 has 96 divisors (see below), whose sum is σ = 124588800. Its totient is φ = 13837824.

The previous prime is 42113941. The next prime is 42113957. The reversal of 42113952 is 25931124.

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

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

It is not an unprimeable number, because it can be changed into a prime (42113957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67948 + ... + 68564.

It is an arithmetic number, because the mean of its divisors is an integer number (1297800).

Almost surely, 2^42113952 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 42113952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62294400).

42113952 is an abundant number, since it is smaller than the sum of its proper divisors (82474848).

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

42113952 is a wasteful number, since it uses less digits than its factorization.

42113952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 42113952 is about 6489.5263309428. The cubic root of 42113952 is about 347.9167458392.

The spelling of 42113952 in words is "forty-two million, one hundred thirteen thousand, nine hundred fifty-two".