45048 has 16 divisors (see below), whose sum is σ = 112680. Its totient is φ = 15008.

The previous prime is 45013. The next prime is 45053. The reversal of 45048 is 84054.

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is an unprimeable number.

45048 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 915 + ... + 962.

2⁴⁵⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

45048 is an abundant number, since it is smaller than the sum of its proper divisors (67632).

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 (56340).

45048 is a wasteful number, since it uses less digits than its factorization.

45048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45048 is about 212.2451412871. The cubic root of 45048 is about 35.5815752827.

The spelling of 45048 in words is "forty-five thousand, forty-eight".