45809152 has 80 divisors (see below), whose sum is σ = 102381840. Its totient is φ = 20348928.

The previous prime is 45809149. The next prime is 45809167. The reversal of 45809152 is 25190854.

45809152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 165238 + ... + 165514.

It is an arithmetic number, because the mean of its divisors is an integer number (1279773).

Almost surely, 2^45809152 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 45809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51190920).

45809152 is an abundant number, since it is smaller than the sum of its proper divisors (56572688).

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

45809152 is a wasteful number, since it uses less digits than its factorization.

45809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 45809152 is about 6768.2458584186. The cubic root of 45809152 is about 357.8085802931.

The spelling of 45809152 in words is "forty-five million, eight hundred nine thousand, one hundred fifty-two".