45198288 has 60 divisors (see below), whose sum is σ = 127056228. Its totient is φ = 14999040.

The previous prime is 45198287. The next prime is 45198311. The reversal of 45198288 is 88289154.

It is a happy number.

45198288 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 2 ways, for example, as 13927824 + 31270464 = 3732^2 + 5592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45198281) 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 11 ways as a sum of consecutive naturals, for example, 39906 + ... + 41022.

Almost surely, 2^45198288 is an apocalyptic number.

45198288 is a gapful number since it is divisible by the number (48) 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 45198288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63528114).

45198288 is an abundant number, since it is smaller than the sum of its proper divisors (81857940).

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

45198288 is a wasteful number, since it uses less digits than its factorization.

45198288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1403 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 45198288 is about 6722.9672020619. The cubic root of 45198288 is about 356.2110014558.

The spelling of 45198288 in words is "forty-five million, one hundred ninety-eight thousand, two hundred eighty-eight".