45586002 has 64 divisors (see below), whose sum is σ = 115200000. Its totient is φ = 11681280.

The previous prime is 45586001. The next prime is 45586039. The reversal of 45586002 is 20068554.

It is not an unprimeable number, because it can be changed into a prime (45586001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35874 + ... + 37122.

It is an arithmetic number, because the mean of its divisors is an integer number (1800000).

Almost surely, 2^45586002 is an apocalyptic number.

45586002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45586002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600000).

45586002 is an abundant number, since it is smaller than the sum of its proper divisors (69613998).

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

45586002 is a wasteful number, since it uses less digits than its factorization.

45586002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45586002 is about 6751.7406644509. The cubic root of 45586002 is about 357.2266370003.

The spelling of 45586002 in words is "forty-five million, five hundred eighty-six thousand, two".