45582152 has 108 divisors (see below), whose sum is σ = 112918995. Its totient is φ = 17186400.

The previous prime is 45582137. The next prime is 45582157. The reversal of 45582152 is 25128554.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45582152 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 only one way, i.e., 22791076 + 22791076 = 4774^2 + 4774^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4774.

It is a super-2 number, since 2×45582152² = 4155465161902208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45582157) 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 26 ways as a sum of consecutive naturals, for example, 1470377 + ... + 1470407.

Almost surely, 2^45582152 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 45582152

45582152 is an abundant number, since it is smaller than the sum of its proper divisors (67336843).

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

45582152 is a wasteful number, since it uses less digits than its factorization.

45582152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its digits is 16000, while the sum is 32.

The square root of 45582152 is about 6751.4555467692. The cubic root of 45582152 is about 357.2165801026.

Multiplying 45582152 by its sum of digits (32), we get a square (1458628864 = 38192²).

The spelling of 45582152 in words is "forty-five million, five hundred eighty-two thousand, one hundred fifty-two".