50137824 has 96 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 14976000.

The previous prime is 50137823. The next prime is 50137837. The reversal of 50137824 is 42873105.

50137824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 50137791 and 50137800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50137823) 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 15 ways as a sum of consecutive naturals, for example, 83124 + ... + 83724.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 2^50137824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50137824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72817920).

50137824 is an abundant number, since it is smaller than the sum of its proper divisors (95498016).

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

50137824 is a wasteful number, since it uses less digits than its factorization.

50137824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 50137824 is about 7080.8067336992. The cubic root of 50137824 is about 368.7413379561.

The spelling of 50137824 in words is "fifty million, one hundred thirty-seven thousand, eight hundred twenty-four".