45528252 has 72 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 11823840.

The previous prime is 45528233. The next prime is 45528257. The reversal of 45528252 is 25282554.

It is a happy number.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45528257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2949 + ... + 9987.

It is an arithmetic number, because the mean of its divisors is an integer number (1872640).

Almost surely, 2^45528252 is an apocalyptic number.

45528252 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 45528252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

45528252 is an abundant number, since it is smaller than the sum of its proper divisors (89301828).

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

45528252 is a wasteful number, since it uses less digits than its factorization.

45528252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7062 counting only the distinct ones).

The product of its digits is 32000, while the sum is 33.

The square root of 45528252 is about 6747.4626342055. The cubic root of 45528252 is about 357.0757240368.

The spelling of 45528252 in words is "forty-five million, five hundred twenty-eight thousand, two hundred fifty-two".