50133600 has 288 divisors, whose sum is σ = 198737280. Its totient is φ = 12096000.

The previous prime is 50133563. The next prime is 50133619. The reversal of 50133600 is 633105.

50133600 is a `hidden beast` number, since 50 + 13 + 3 + 600 = 666.

50133600 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237495 + ... + 237705.

It is an arithmetic number, because the mean of its divisors is an integer number (690060).

Almost surely, 2^50133600 is an apocalyptic number.

50133600 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 50133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99368640).

50133600 is an abundant number, since it is smaller than the sum of its proper divisors (148603680).

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

50133600 is a wasteful number, since it uses less digits than its factorization.

50133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 50133600 is about 7080.5084563187. The cubic root of 50133600 is about 368.7309824531.

Adding to 50133600 its reverse (633105), we get a palindrome (50766705).

The spelling of 50133600 in words is "fifty million, one hundred thirty-three thousand, six hundred".