48516 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 14880.

The previous prime is 48497. The next prime is 48523. The reversal of 48516 is 61584.

48516 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

48516 is a nontrivial binomial coefficient, being equal to C(312, 2).

It is an Ulam number.

It is an unprimeable number.

48516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2⁴⁸⁵¹⁶ is an apocalyptic number.

48516 is the 311-st triangular number and also the 156-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

48516 is an abundant number, since it is smaller than the sum of its proper divisors (73788).

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

48516 is a wasteful number, since it uses less digits than its factorization.

48516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 48516 is about 220.2634785887. The cubic root of 48516 is about 36.4721749529.

The spelling of 48516 in words is "forty-eight thousand, five hundred sixteen".