49787100 has 216 divisors, whose sum is σ = 175488768. Its totient is φ = 11702400.

The previous prime is 49787081. The next prime is 49787131. The reversal of 49787100 is 178794.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 465247 + ... + 465353.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^49787100 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 49787100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

49787100 is an abundant number, since it is smaller than the sum of its proper divisors (125701668).

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

49787100 is a wasteful number, since it uses less digits than its factorization.

49787100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 49787100 is about 7055.9974489791. The cubic root of 49787100 is about 367.8795190820.

Adding to 49787100 its sum of digits (36), we get a 4-th power (49787136 = 84⁴).

The spelling of 49787100 in words is "forty-nine million, seven hundred eighty-seven thousand, one hundred".