45264736 has 48 divisors (see below), whose sum is σ = 101461248. Its totient is φ = 19676800.

The previous prime is 45264721. The next prime is 45264773. The reversal of 45264736 is 63746254.

45264736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45264695 and 45264704.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5301 + ... + 10891.

It is an arithmetic number, because the mean of its divisors is an integer number (2113776).

Almost surely, 2^45264736 is an apocalyptic number.

45264736 is a gapful number since it is divisible by the number (46) 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 45264736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50730624).

45264736 is an abundant number, since it is smaller than the sum of its proper divisors (56196512).

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

45264736 is a wasteful number, since it uses less digits than its factorization.

45264736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5627 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 45264736 is about 6727.9072526306. The cubic root of 45264736 is about 356.3854764927.

The spelling of 45264736 in words is "forty-five million, two hundred sixty-four thousand, seven hundred thirty-six".