50361600 has 216 divisors, whose sum is σ = 172856992. Its totient is φ = 12902400.

The previous prime is 50361587. The next prime is 50361601. The reversal of 50361600 is 616305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50361601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825570 + ... + 825630.

Almost surely, 2^50361600 is an apocalyptic number.

50361600 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 50361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86428496).

50361600 is an abundant number, since it is smaller than the sum of its proper divisors (122495392).

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

50361600 is a wasteful number, since it uses less digits than its factorization.

50361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 50361600 is about 7096.5907307664. The cubic root of 50361600 is about 369.2891147114.

Adding to 50361600 its reverse (616305), we get a palindrome (50977905).

The spelling of 50361600 in words is "fifty million, three hundred sixty-one thousand, six hundred".