49766900 has 54 divisors (see below), whose sum is σ = 112577430. Its totient is φ = 19073600.

The previous prime is 49766897. The next prime is 49766921. The reversal of 49766900 is 966794.

It can be written as a sum of positive squares in 3 ways, for example, as 3363556 + 46403344 = 1834^2 + 6812^2 .

It is a super-2 number, since 2×49766900² = 4953488671220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 379835 + ... + 379965.

Almost surely, 2^49766900 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 49766900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56288715).

49766900 is an abundant number, since it is smaller than the sum of its proper divisors (62810530).

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

49766900 is a wasteful number, since it uses less digits than its factorization.

49766900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 49766900 is about 7054.5658973462. The cubic root of 49766900 is about 367.8297593951.

The spelling of 49766900 in words is "forty-nine million, seven hundred sixty-six thousand, nine hundred".