# 4048

## 4,048 is an even composite number composed of three prime numbers multiplied together.

What does the number 4048 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

4048 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 4048:

### 24 × 11 × 23

(2 × 2 × 2 × 2 × 11 × 23)

See below for interesting mathematical facts about the number 4048 from the Numbermatics database.

### Names of 4048

• Cardinal: 4048 can be written as Four thousand and forty-eight.

### Scientific notation

• Scientific notation: 4.048 × 103

### Factors of 4048

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 36

### Divisors of 4048

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 8928
• Sum of proper divisors (its aliquot sum) s(n): 4880
• 4048 is an abundant number, because the sum of its proper divisors (4880) is greater than itself. Its abundance is 832

### Bases of 4048

• Binary: 1111110100002
• Base-36: 34G

### Squares and roots of 4048

• 4048 squared (40482) is 16386304
• 4048 cubed (40483) is 66331758592
• The square root of 4048 is 63.6238948823
• The cube root of 4048 is 15.9372542573

### Scales and comparisons

How big is 4048?
• 4,048 seconds is equal to 7 minutes, 28 seconds.
• To count from 1 to 4,048 would take you about seven minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 4048 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4048

• 4048 backwards is 8404
• 4048 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4048's digits is 16
• More coming soon!