49138100 has 108 divisors (see below), whose sum is σ = 121908864. Its totient is φ = 17160000.

The previous prime is 49138087. The next prime is 49138127. The reversal of 49138100 is 183194.

It is a super-2 number, since 2×49138100² = 4829105743220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49138100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375035 + ... + 375165.

Almost surely, 2^49138100 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 49138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60954432).

49138100 is an abundant number, since it is smaller than the sum of its proper divisors (72770764).

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

49138100 is a wasteful number, since it uses less digits than its factorization.

49138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 49138100 is about 7009.8573451961. The cubic root of 49138100 is about 366.2740241359.

The spelling of 49138100 in words is "forty-nine million, one hundred thirty-eight thousand, one hundred".