49244048100 has 243 divisors, whose sum is σ = 167433608433. Its totient is φ = 12100308480.

The previous prime is 49244048093. The next prime is 49244048101. The reversal of 49244048100 is 184044294.

The square root of 49244048100 is 221910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 48601729764 + 642318336 = 220458^2 + 25344^2 .

It is a super-2 number, since 2×49244048100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49244048101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 86544616 + ... + 86545184.

Almost surely, 2^49244048100 is an apocalyptic number.

49244048100 is the 221910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49244048100

49244048100 is an abundant number, since it is smaller than the sum of its proper divisors (118189560333).

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

49244048100 is a wasteful number, since it uses less digits than its factorization.

49244048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 49244048100 by its sum of digits (36), we get a square (1772785731600 = 1331460²).

49244048100 divided by its sum of digits (36) gives a square (1367890225 = 36985²).

The spelling of 49244048100 in words is "forty-nine billion, two hundred forty-four million, forty-eight thousand, one hundred".