49188300 has 144 divisors (see below), whose sum is σ = 165822720. Its totient is φ = 11024640.

The previous prime is 49188277. The next prime is 49188301. The reversal of 49188300 is 388194.

It is not an unprimeable number, because it can be changed into a prime (49188301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123702 + ... + 124098.

Almost surely, 2^49188300 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 49188300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82911360).

49188300 is an abundant number, since it is smaller than the sum of its proper divisors (116634420).

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

49188300 is a wasteful number, since it uses less digits than its factorization.

49188300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 49188300 is about 7013.4371031613. The cubic root of 49188300 is about 366.3987114839.

The spelling of 49188300 in words is "forty-nine million, one hundred eighty-eight thousand, three hundred".