45085248 has 168 divisors, whose sum is σ = 144971008. Its totient is φ = 13810176.

The previous prime is 45085247. The next prime is 45085273. The reversal of 45085248 is 84258054.

45085248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (45085247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202065 + ... + 202287.

Almost surely, 2^45085248 is an apocalyptic number.

45085248 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 45085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72485504).

45085248 is an abundant number, since it is smaller than the sum of its proper divisors (99885760).

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

45085248 is a wasteful number, since it uses less digits than its factorization.

45085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45085248 is about 6714.5549368517. The cubic root of 45085248 is about 355.9137947228.

The spelling of 45085248 in words is "forty-five million, eighty-five thousand, two hundred forty-eight".