48916 has 12 divisors (see below), whose sum is σ = 97888. Its totient is φ = 20952.

The previous prime is 48907. The next prime is 48947. The reversal of 48916 is 61984.

48916 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1747 = 48916 / (4 + 8 + 9 + 1 + 6).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 846 + ... + 901.

2⁴⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

48916 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944).

48916 is a wasteful number, since it uses less digits than its factorization.

48916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1756 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 48916 is about 221.1696181667. The cubic root of 48916 is about 36.5721348217.

It can be divided in two parts, 489 and 16, that added together give a palindrome (505).

The spelling of 48916 in words is "forty-eight thousand, nine hundred sixteen".