45052686 has 192 divisors, whose sum is σ = 132088320. Its totient is φ = 11197440.

The previous prime is 45052681. The next prime is 45052739. The reversal of 45052686 is 68625054.

45052686 is a `hidden beast` number, since 4 + 50 + 526 + 86 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45052686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45052681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1098826 + ... + 1098866.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^45052686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45052686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

45052686 is an abundant number, since it is smaller than the sum of its proper divisors (87035634).

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

45052686 is a wasteful number, since it uses less digits than its factorization.

45052686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45052686 is about 6712.1297663260. The cubic root of 45052686 is about 355.8280899992.

The spelling of 45052686 in words is "forty-five million, fifty-two thousand, six hundred eighty-six".