48852 has 36 divisors (see below), whose sum is σ = 131040. Its totient is φ = 15312.

The previous prime is 48847. The next prime is 48857. The reversal of 48852 is 25884.

It is an interprime number because it is at equal distance from previous prime (48847) and next prime (48857).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48857) by changing a digit.

48852 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 11 ways as a sum of consecutive naturals, for example, 799 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁴⁸⁸⁵² 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 48852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

48852 is an abundant number, since it is smaller than the sum of its proper divisors (82188).

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

48852 is a wasteful number, since it uses less digits than its factorization.

48852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 87 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 48852 is about 221.0248854767. The cubic root of 48852 is about 36.5561779558.

It can be divided in two parts, 48 and 852, that added together give a square (900 = 30²).

The spelling of 48852 in words is "forty-eight thousand, eight hundred fifty-two".