49565200 has 120 divisors (see below), whose sum is σ = 130150152. Its totient is φ = 18063360.

The previous prime is 49565189. The next prime is 49565231. The reversal of 49565200 is 256594.

It can be written as a sum of positive squares in 12 ways, for example, as 1290496 + 48274704 = 1136^2 + 6948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251502 + ... + 251698.

Almost surely, 2^49565200 is an apocalyptic number.

49565200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65075076).

49565200 is an abundant number, since it is smaller than the sum of its proper divisors (80584952).

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

49565200 is a wasteful number, since it uses less digits than its factorization.

49565200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 49565200 is about 7040.2556771754. The cubic root of 49565200 is about 367.3321614699.

The spelling of 49565200 in words is "forty-nine million, five hundred sixty-five thousand, two hundred".