45042 has 8 divisors (see below), whose sum is σ = 90096. Its totient is φ = 15012.

The previous prime is 45013. The next prime is 45053. The reversal of 45042 is 24054.

It is a sphenic number, since it is the product of 3 distinct primes.

45042 is an admirable number.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45042.

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 3 ways as a sum of consecutive naturals, for example, 3748 + ... + 3759.

It is an arithmetic number, because the mean of its divisors is an integer number (11262).

2⁴⁵⁰⁴² is an apocalyptic number.

45042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45048).

45042 is a wasteful number, since it uses less digits than its factorization.

45042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512.

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45042 is about 212.2310062173. The cubic root of 45042 is about 35.5799954942.

Adding to 45042 its reverse (24054), we get a palindrome (69096).

The spelling of 45042 in words is "forty-five thousand, forty-two".