48846 has 16 divisors (see below), whose sum is σ = 111744. Its totient is φ = 13944.

The previous prime is 48823. The next prime is 48847. The reversal of 48846 is 64884.

48846 = 109² + 110² + ... + 112².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48847) by changing a digit.

48846 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (6984).

2⁴⁸⁸⁴⁶ is an apocalyptic number.

48846 is an abundant number, since it is smaller than the sum of its proper divisors (62898).

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 (55872).

48846 is a wasteful number, since it uses less digits than its factorization.

48846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175.

The product of its digits is 6144, while the sum is 30.

The square root of 48846 is about 221.0113119277. The cubic root of 48846 is about 36.5546812852.

The spelling of 48846 in words is "forty-eight thousand, eight hundred forty-six".