288042 has 16 divisors (see below), whose sum is σ = 586272. Its totient is φ = 94320.

The previous prime is 288023. The next prime is 288049. The reversal of 288042 is 240882.

288042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288042.

It is not an unprimeable number, because it can be changed into a prime (288049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (36642).

2²⁸⁸⁰⁴² is an apocalyptic number.

288042 is an abundant number, since it is smaller than the sum of its proper divisors (298230).

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

288042 is a wasteful number, since it uses less digits than its factorization.

288042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 288042 is about 536.6954443630. The cubic root of 288042 is about 66.0417550289.

The spelling of 288042 in words is "two hundred eighty-eight thousand, forty-two".