49813300 has 72 divisors (see below), whose sum is σ = 113664600. Its totient is φ = 18923520.

The previous prime is 49813273. The next prime is 49813333. The reversal of 49813300 is 331894.

49813300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 26811684 + 23001616 = 5178^2 + 4796^2 .

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, 258004 + ... + 258196.

It is an arithmetic number, because the mean of its divisors is an integer number (1578675).

Almost surely, 2^49813300 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 49813300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56832300).

49813300 is an abundant number, since it is smaller than the sum of its proper divisors (63851300).

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

49813300 is a wasteful number, since it uses less digits than its factorization.

49813300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 49813300 is about 7057.8537814268. The cubic root of 49813300 is about 367.9440388282.

It can be divided in two parts, 4981 and 3300, that added together give a square (8281 = 91²).

The spelling of 49813300 in words is "forty-nine million, eight hundred thirteen thousand, three hundred".