45228096 has 84 divisors (see below), whose sum is σ = 130580892. Its totient is φ = 14966784.

The previous prime is 45228077. The next prime is 45228107. The reversal of 45228096 is 69082254.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 34574400 = 3264^2 + 5880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45228096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134040 + ... + 134376.

Almost surely, 2^45228096 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 45228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65290446).

45228096 is an abundant number, since it is smaller than the sum of its proper divisors (85352796).

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

45228096 is a wasteful number, since it uses less digits than its factorization.

45228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45228096 is about 6725.1837149627. The cubic root of 45228096 is about 356.2892905880.

The spelling of 45228096 in words is "forty-five million, two hundred twenty-eight thousand, ninety-six".