Search a number
4888 = 231347

4888 has 16 divisors (see below), whose sum is σ = 10080. Its totient is φ = 2208.

The previous prime is 4877. The next prime is 4889. The reversal of 4888 is 8884.

It is a happy number.

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

4888 is a Rhonda number in base 12.

4888 is a modest number, since divided by 88 gives 48 as remainder.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 127.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

24888 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 4888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

4888 is an abundant number, since it is smaller than the sum of its proper divisors (5192).

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

4888 is a wasteful number, since it uses less digits than its factorization.

4888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 4888 is about 69.9142331718. The cubic root of 4888 is about 16.9711158884.

It can be divided in two parts, 488 and 8, that added together give a triangular number (496 = T31).

The spelling of 4888 in words is "four thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 2444 4888