49882800 has 120 divisors (see below), whose sum is σ = 174363840. Its totient is φ = 12089600.

The previous prime is 49882793. The next prime is 49882801. The reversal of 49882800 is 828894.

49882800 = 1233² + 1234² + ... + 1264².

It is a happy number.

49882800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (49882801) 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, 11311 + ... + 15089.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^49882800 is an apocalyptic number.

49882800 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 49882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

49882800 is an abundant number, since it is smaller than the sum of its proper divisors (124481040).

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

49882800 is a wasteful number, since it uses less digits than its factorization.

49882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 49882800 is about 7062.7756583372. The cubic root of 49882800 is about 368.1150790062.

The spelling of 49882800 in words is "forty-nine million, eight hundred eighty-two thousand, eight hundred".