# 4800

## 4,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 4800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

4800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 4800:

### 26 × 3 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 4800 from the Numbermatics database.

### Names of 4800

• Cardinal: 4800 can be written as Four thousand, eight hundred.

### Scientific notation

• Scientific notation: 4.8 × 103

### Factors of 4800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 10

### Divisors of 4800

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 15748
• Sum of proper divisors (its aliquot sum) s(n): 10948
• 4800 is an abundant number, because the sum of its proper divisors (10948) is greater than itself. Its abundance is 6148

### Bases of 4800

• Binary: 10010110000002
• Base-36: 3PC

### Squares and roots of 4800

• 4800 squared (48002) is 23040000
• 4800 cubed (48003) is 110592000000
• The square root of 4800 is 69.2820323027
• The cube root of 4800 is 16.8686533061

### Scales and comparisons

How big is 4800?
• 4,800 seconds is equal to 1 hour, 20 minutes.
• To count from 1 to 4,800 would take you about twenty 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 4800 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4800

• 4800 backwards is 0084
• 4800 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4800's digits is 12
• More coming soon!

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The information we have on file for 4800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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