48336 has 40 divisors (see below), whose sum is σ = 133920. Its totient is φ = 14976.

The previous prime is 48313. The next prime is 48337. The reversal of 48336 is 63384.

48336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48336.

It is not an unprimeable number, because it can be changed into a prime (48337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2⁴⁸³³⁶ 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 48336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

48336 is an abundant number, since it is smaller than the sum of its proper divisors (85584).

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

48336 is a wasteful number, since it uses less digits than its factorization.

48336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 48336 is about 219.8544973386. The cubic root of 48336 is about 36.4270137193.

The spelling of 48336 in words is "forty-eight thousand, three hundred thirty-six".