50493600 has 108 divisors (see below), whose sum is σ = 178078446. Its totient is φ = 13463040.

The previous prime is 50493581. The next prime is 50493601. The reversal of 50493600 is 639405.

It is a happy number.

50493600 is a `hidden beast` number, since 50 + 4 + 9 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 44675856 + 5817744 = 6684^2 + 2412^2 .

It is not an unprimeable number, because it can be changed into a prime (50493601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3694 + ... + 10706.

Almost surely, 2^50493600 is an apocalyptic number.

50493600 is a gapful number since it is divisible by the number (50) 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 50493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89039223).

50493600 is an abundant number, since it is smaller than the sum of its proper divisors (127584846).

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

50493600 is a wasteful number, since it uses less digits than its factorization.

50493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 50493600 is about 7105.8848850794. The cubic root of 50493600 is about 369.6114743163.

It can be divided in two parts, 5049 and 3600, that added together give a square (8649 = 93²).

The spelling of 50493600 in words is "fifty million, four hundred ninety-three thousand, six hundred".