49275200 has 168 divisors, whose sum is σ = 137574528. Its totient is φ = 17233920.

The previous prime is 49275199. The next prime is 49275229. The reversal of 49275200 is 257294.

49275200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 478349 + ... + 478451.

It is an arithmetic number, because the mean of its divisors is an integer number (818896).

Almost surely, 2^49275200 is an apocalyptic number.

49275200 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 49275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68787264).

49275200 is an abundant number, since it is smaller than the sum of its proper divisors (88299328).

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

49275200 is a wasteful number, since it uses less digits than its factorization.

49275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 49275200 is about 7019.6296198589. The cubic root of 49275200 is about 366.6143543368.

The spelling of 49275200 in words is "forty-nine million, two hundred seventy-five thousand, two hundred".