49686100 has 36 divisors (see below), whose sum is σ = 108797724. Its totient is φ = 19694080.

The previous prime is 49686089. The next prime is 49686101. The reversal of 49686100 is 168694.

49686100 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 6 ways, for example, as 10523536 + 39162564 = 3244^2 + 6258^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49686101) 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 11 ways as a sum of consecutive naturals, for example, 9102 + ... + 13498.

It is an arithmetic number, because the mean of its divisors is an integer number (3022159).

Almost surely, 2^49686100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49686100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54398862).

49686100 is an abundant number, since it is smaller than the sum of its proper divisors (59111624).

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

49686100 is a wasteful number, since it uses less digits than its factorization.

49686100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 49686100 is about 7048.8367834700. The cubic root of 49686100 is about 367.6305858909.

The spelling of 49686100 in words is "forty-nine million, six hundred eighty-six thousand, one hundred".