48042 has 24 divisors (see below), whose sum is σ = 110916. Its totient is φ = 14976.

The previous prime is 48029. The next prime is 48049. The reversal of 48042 is 24084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 81 = 219^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (48049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228 + ... + 384.

2⁴⁸⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55458).

48042 is an abundant number, since it is smaller than the sum of its proper divisors (62874).

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

48042 is a wasteful number, since it uses less digits than its factorization.

48042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48042 is about 219.1848534913. The cubic root of 48042 is about 36.3530086366.

The spelling of 48042 in words is "forty-eight thousand, forty-two".