45535248 has 240 divisors, whose sum is σ = 156686400. Its totient is φ = 12165120.

The previous prime is 45535223. The next prime is 45535289. The reversal of 45535248 is 84253554.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (96000) is a multiple of the sum of its prime factors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511588 + ... + 511676.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 2^45535248 is an apocalyptic number.

45535248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45535248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343200).

45535248 is an abundant number, since it is smaller than the sum of its proper divisors (111151152).

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

45535248 is a wasteful number, since it uses less digits than its factorization.

45535248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 45535248 is about 6747.9810313901. The cubic root of 45535248 is about 357.0940128554.

It can be divided in two parts, 4553 and 5248, that added together give a square (9801 = 99²).

The spelling of 45535248 in words is "forty-five million, five hundred thirty-five thousand, two hundred forty-eight".