49226296900 has 81 divisors (see below), whose sum is σ = 117473130327. Its totient is φ = 17891596800.

The previous prime is 49226296879. The next prime is 49226296913. The reversal of 49226296900 is 969262294.

The square root of 49226296900 is 221870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2780874756 + 46445422144 = 52734^2 + 215512^2 .

It is a super-2 number, since 2×49226296900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 24404692 + ... + 24406708.

Almost surely, 2^49226296900 is an apocalyptic number.

49226296900 is the 221870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49226296900

49226296900 is an abundant number, since it is smaller than the sum of its proper divisors (68246833427).

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

49226296900 is a wasteful number, since it uses less digits than its factorization.

49226296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 49226296900 by its sum of digits (49), we get a square (2412088548100 = 1553090²).

The spelling of 49226296900 in words is "forty-nine billion, two hundred twenty-six million, two hundred ninety-six thousand, nine hundred".