45008289 has 24 divisors (see below), whose sum is σ = 66771432. Its totient is φ = 29203200.

The previous prime is 45008267. The next prime is 45008351. The reversal of 45008289 is 98280054.

45008289 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 4 ways, for example, as 13838400 + 31169889 = 3720^2 + 5583^2 .

It is not a de Polignac number, because 45008289 - 2¹³ = 45000097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45008489) 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 23 ways as a sum of consecutive naturals, for example, 74589 + ... + 75189.

It is an arithmetic number, because the mean of its divisors is an integer number (2782143).

Almost surely, 2^45008289 is an apocalyptic number.

It is an amenable number.

45008289 is a deficient number, since it is larger than the sum of its proper divisors (21763143).

45008289 is a wasteful number, since it uses less digits than its factorization.

45008289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 45008289 is about 6708.8217296333. The cubic root of 45008289 is about 355.7111684331.

The spelling of 45008289 in words is "forty-five million, eight thousand, two hundred eighty-nine".