# 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!