45517008 has 80 divisors (see below), whose sum is σ = 128116800. Its totient is φ = 13870080.

The previous prime is 45516997. The next prime is 45517057. The reversal of 45517008 is 80071554.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25588 + ... + 27308.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^45517008 is an apocalyptic number.

45517008 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 45517008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64058400).

45517008 is an abundant number, since it is smaller than the sum of its proper divisors (82599792).

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

45517008 is a wasteful number, since it uses less digits than its factorization.

45517008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 45517008 is about 6746.6293806611. The cubic root of 45517008 is about 357.0463262466.

The spelling of 45517008 in words is "forty-five million, five hundred seventeen thousand, eight".