45527832 has 80 divisors (see below), whose sum is σ = 145751760. Its totient is φ = 13006656.

The previous prime is 45527831. The next prime is 45527869. The reversal of 45527832 is 23872554.

45527832 is a `hidden beast` number, since 4 + 552 + 78 + 32 = 666.

45527832 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 (36) coincides with the sum of the digits of its prime factors.

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 (45527831) 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 19 ways as a sum of consecutive naturals, for example, 483 + ... + 9554.

It is an arithmetic number, because the mean of its divisors is an integer number (1821897).

Almost surely, 2^45527832 is an apocalyptic number.

45527832 is a gapful number since it is divisible by the number (42) 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 45527832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72875880).

45527832 is an abundant number, since it is smaller than the sum of its proper divisors (100223928).

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

45527832 is a wasteful number, since it uses less digits than its factorization.

45527832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10049 counting only the distinct ones).

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

The square root of 45527832 is about 6747.4315113234. The cubic root of 45527832 is about 357.0746260207.

The spelling of 45527832 in words is "forty-five million, five hundred twenty-seven thousand, eight hundred thirty-two".