45248 has 28 divisors (see below), whose sum is σ = 103632. Its totient is φ = 19200.

The previous prime is 45247. The next prime is 45259. The reversal of 45248 is 84254.

It is a tau number, because it is divible by the number of its divisors (28).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (45247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398 + ... + 498.

2⁴⁵²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51816).

45248 is an abundant number, since it is smaller than the sum of its proper divisors (58384).

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

45248 is a wasteful number, since it uses less digits than its factorization.

45248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 45248 is about 212.7157728049. The cubic root of 45248 is about 35.6341548238.

The spelling of 45248 in words is "forty-five thousand, two hundred forty-eight".