49189200 has 120 divisors (see below), whose sum is σ = 159141600. Its totient is φ = 12986880.

The previous prime is 49189187. The next prime is 49189237. The reversal of 49189200 is 298194.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214686 + ... + 214914.

It is an arithmetic number, because the mean of its divisors is an integer number (1326180).

Almost surely, 2^49189200 is an apocalyptic number.

49189200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79570800).

49189200 is an abundant number, since it is smaller than the sum of its proper divisors (109952400).

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

49189200 is a wasteful number, since it uses less digits than its factorization.

49189200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 49189200 is about 7013.5012654166. The cubic root of 49189200 is about 366.4009461402.

The spelling of 49189200 in words is "forty-nine million, one hundred eighty-nine thousand, two hundred".