45319008 has 96 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 12183552.

The previous prime is 45318979. The next prime is 45319013. The reversal of 45319008 is 80091354.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45319008² = 4107624972208128, which contains 22 as substring.

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, 9441 + ... + 13407.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^45319008 is an apocalyptic number.

45319008 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 45319008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

45319008 is an abundant number, since it is smaller than the sum of its proper divisors (98671776).

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

45319008 is a wasteful number, since it uses less digits than its factorization.

45319008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 45319008 is about 6731.9393936666. The cubic root of 45319008 is about 356.5278539020.

The spelling of 45319008 in words is "forty-five million, three hundred nineteen thousand, eight".