# 4788

## 4,788 is an even composite number composed of four prime numbers multiplied together.

What does the number 4788 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

4788 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 4788:

### 22 × 32 × 7 × 19

(2 × 2 × 3 × 3 × 7 × 19)

See below for interesting mathematical facts about the number 4788 from the Numbermatics database.

### Names of 4788

• Cardinal: 4788 can be written as Four thousand, seven hundred eighty-eight.

### Scientific notation

• Scientific notation: 4.788 × 103

### Factors of 4788

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 31

### Divisors of 4788

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 14560
• Sum of proper divisors (its aliquot sum) s(n): 9772
• 4788 is an abundant number, because the sum of its proper divisors (9772) is greater than itself. Its abundance is 4984

### Bases of 4788

• Binary: 10010101101002
• Base-36: 3P0

### Squares and roots of 4788

• 4788 squared (47882) is 22924944
• 4788 cubed (47883) is 109764631872
• The square root of 4788 is 69.1953755681
• The cube root of 4788 is 16.8545843645

### Scales and comparisons

How big is 4788?
• 4,788 seconds is equal to 1 hour, 19 minutes, 48 seconds.
• To count from 1 to 4,788 would take you about nineteen 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 4788 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4788

• 4788 backwards is 8874
• The number of decimal digits it has is: 4
• The sum of 4788's digits is 27
• More coming soon!