45783504 has 120 divisors (see below), whose sum is σ = 141930152. Its totient is φ = 13685760.

The previous prime is 45783503. The next prime is 45783509. The reversal of 45783504 is 40538754.

45783504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13838400 + 31945104 = 3720^2 + 5652^2 .

It is a super-2 number, since 2×45783504² = 4192258477036032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45783503) 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, 68934 + ... + 69594.

Almost surely, 2^45783504 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 45783504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70965076).

45783504 is an abundant number, since it is smaller than the sum of its proper divisors (96146648).

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

45783504 is a wasteful number, since it uses less digits than its factorization.

45783504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 45783504 is about 6766.3508629098. The cubic root of 45783504 is about 357.7417902354.

The spelling of 45783504 in words is "forty-five million, seven hundred eighty-three thousand, five hundred four".