42203952 has 120 divisors (see below), whose sum is σ = 136375200. Its totient is φ = 11934720.

The previous prime is 42203929. The next prime is 42203957. The reversal of 42203952 is 25930224.

42203952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42203957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150052 + ... + 150332.

It is an arithmetic number, because the mean of its divisors is an integer number (1136460).

Almost surely, 2^42203952 is an apocalyptic number.

42203952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42203952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68187600).

42203952 is an abundant number, since it is smaller than the sum of its proper divisors (94171248).

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

42203952 is a wasteful number, since it uses less digits than its factorization.

42203952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42203952 is about 6496.4568804849. The cubic root of 42203952 is about 348.1644090366.

The spelling of 42203952 in words is "forty-two million, two hundred three thousand, nine hundred fifty-two".