50091600 has 240 divisors, whose sum is σ = 182974400. Its totient is φ = 11681280.

The previous prime is 50091593. The next prime is 50091607. The reversal of 50091600 is 619005.

50091600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50091593) and next prime (50091607).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50091607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636391 + ... + 2636409.

Almost surely, 2^50091600 is an apocalyptic number.

50091600 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 50091600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91487200).

50091600 is an abundant number, since it is smaller than the sum of its proper divisors (132882800).

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

50091600 is a wasteful number, since it uses less digits than its factorization.

50091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 50091600 is about 7077.5419461844. The cubic root of 50091600 is about 368.6279841446.

The spelling of 50091600 in words is "fifty million, ninety-one thousand, six hundred".