4048 has 20 divisors (see below), whose sum is σ = 8928. Its totient is φ = 1760.

The previous prime is 4027. The next prime is 4049. The reversal of 4048 is 8404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 4, base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049) by changing a digit.

4048 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165 + ... + 187.

2⁴⁰⁴⁸ 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 4048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464).

4048 is an abundant number, since it is smaller than the sum of its proper divisors (4880).

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

4048 is a wasteful number, since it uses less digits than its factorization.

4048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4048 is about 63.6238948823. The cubic root of 4048 is about 15.9372542574.

4048 divided by its sum of digits (16) gives a triangular number (253 = T₂₂).

Subtracting 4048 from its reverse (8404), we obtain a square (4356 = 66²).

It can be divided in two parts, 40 and 48, that added together give a palindrome (88).

The spelling of 4048 in words is "four thousand, forty-eight".