50193 has 24 divisors (see below), whose sum is σ = 87840. Its totient is φ = 28080.

The previous prime is 50177. The next prime is 50207. The reversal of 50193 is 39105.

It is not a de Polignac number, because 50193 - 2⁴ = 50177 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (50123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3855 + ... + 3867.

It is an arithmetic number, because the mean of its divisors is an integer number (3660).

2⁵⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

50193 is a deficient number, since it is larger than the sum of its proper divisors (37647).

50193 is a wasteful number, since it uses less digits than its factorization.

50193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 50193 is about 224.0379432150. The cubic root of 50193 is about 36.8876553326.

Adding to 50193 its reverse (39105), we get a palindrome (89298).

It can be divided in two parts, 50 and 193, that added together give a 5-th power (243 = 3⁵).

The spelling of 50193 in words is "fifty thousand, one hundred ninety-three".