49095800 has 96 divisors (see below), whose sum is σ = 128429280. Its totient is φ = 17318400.

The previous prime is 49095793. The next prime is 49095803. The reversal of 49095800 is 859094.

49095800 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 not an unprimeable number, because it can be changed into a prime (49095803) by changing a digit.

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, 59390 + ... + 60210.

It is an arithmetic number, because the mean of its divisors is an integer number (1337805).

Almost surely, 2^49095800 is an apocalyptic number.

49095800 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 49095800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214640).

49095800 is an abundant number, since it is smaller than the sum of its proper divisors (79333480).

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

49095800 is a wasteful number, since it uses less digits than its factorization.

49095800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 49095800 is about 7006.8395157874. The cubic root of 49095800 is about 366.1688929572.

The spelling of 49095800 in words is "forty-nine million, ninety-five thousand, eight hundred".