45823248 has 60 divisors (see below), whose sum is σ = 132675660. Its totient is φ = 14746368.

The previous prime is 45823247. The next prime is 45823289. The reversal of 45823248 is 84232854.

45823248 is a `hidden beast` number, since 4 + 582 + 32 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 20903184 = 4992^2 + 4572^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (45823247) 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, 1311 + ... + 9662.

It is an arithmetic number, because the mean of its divisors is an integer number (2211261).

Almost surely, 2^45823248 is an apocalyptic number.

45823248 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 45823248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66337830).

45823248 is an abundant number, since it is smaller than the sum of its proper divisors (86852412).

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

45823248 is a wasteful number, since it uses less digits than its factorization.

45823248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11016 (or 11007 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45823248 is about 6769.2871116536. The cubic root of 45823248 is about 357.8452771268.

The spelling of 45823248 in words is "forty-five million, eight hundred twenty-three thousand, two hundred forty-eight".