49350100 has 36 divisors (see below), whose sum is σ = 107686684. Its totient is φ = 19630080.

The previous prime is 49350097. The next prime is 49350107. The reversal of 49350100 is 105394.

It can be written as a sum of positive squares in 6 ways, for example, as 4674244 + 44675856 = 2162^2 + 6684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49350107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18022 + ... + 20578.

Almost surely, 2^49350100 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 49350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53843342).

49350100 is an abundant number, since it is smaller than the sum of its proper divisors (58336584).

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

49350100 is a wasteful number, since it uses less digits than its factorization.

49350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 49350100 is about 7024.9626333526. The cubic root of 49350100 is about 366.8000157770.

Adding to 49350100 its reverse (105394), we get a palindrome (49455494).

The spelling of 49350100 in words is "forty-nine million, three hundred fifty thousand, one hundred".