45293824 has 36 divisors (see below), whose sum is σ = 93543660. Its totient is φ = 21862400.

The previous prime is 45293813. The next prime is 45293827. The reversal of 45293824 is 42839254.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26214400 + 19079424 = 5120^2 + 4368^2 .

It is not an unprimeable number, because it can be changed into a prime (45293827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4374 + ... + 10474.

It is an arithmetic number, because the mean of its divisors is an integer number (2598435).

Almost surely, 2^45293824 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 45293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46771830).

45293824 is an abundant number, since it is smaller than the sum of its proper divisors (48249836).

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

45293824 is an equidigital number, since it uses as much as digits as its factorization.

45293824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6132 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 45293824 is about 6730.0686474954. The cubic root of 45293824 is about 356.4618002263.

The spelling of 45293824 in words is "forty-five million, two hundred ninety-three thousand, eight hundred twenty-four".