42204288 has 96 divisors (see below), whose sum is σ = 130466160. Its totient is φ = 12052992.

The previous prime is 42204277. The next prime is 42204373. The reversal of 42204288 is 88240224.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17695 + ... + 19937.

Almost surely, 2^42204288 is an apocalyptic number.

42204288 is a gapful number since it is divisible by the number (48) 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 42204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65233080).

42204288 is an abundant number, since it is smaller than the sum of its proper divisors (88261872).

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

42204288 is a wasteful number, since it uses less digits than its factorization.

42204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 42204288 is about 6496.4827406836. The cubic root of 42204288 is about 348.1653329858.

The spelling of 42204288 in words is "forty-two million, two hundred four thousand, two hundred eighty-eight".