50496 has 28 divisors (see below), whose sum is σ = 134112. Its totient is φ = 16768.

The previous prime is 50461. The next prime is 50497. The reversal of 50496 is 69405.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50497) by changing a digit.

50496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 61 + ... + 323.

2⁵⁰⁴⁹⁶ 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 50496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67056).

50496 is an abundant number, since it is smaller than the sum of its proper divisors (83616).

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

50496 is a wasteful number, since it uses less digits than its factorization.

50496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 50496 is about 224.7131504830. The cubic root of 50496 is about 36.9617330197.

It can be divided in two parts, 504 and 96, that multiplied together give a palindrome (48384).

The spelling of 50496 in words is "fifty thousand, four hundred ninety-six".