4048352 has 96 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1497600.

The previous prime is 4048339. The next prime is 4048393. The reversal of 4048352 is 2538404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76358 + ... + 76410.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

Almost surely, 2^4048352 is an apocalyptic number.

4048352 is the 1643-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

4048352 is an abundant number, since it is smaller than the sum of its proper divisors (6402592).

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

4048352 is a wasteful number, since it uses less digits than its factorization.

4048352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4048352 is about 2012.0516891969. The cubic root of 4048352 is about 159.3771619340.

The spelling of 4048352 in words is "four million, forty-eight thousand, three hundred fifty-two".