# 48000

## 48,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 48000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 64 divisors.

48000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 48000:

### 27 × 3 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 48000 from the Numbermatics database.

### Names of 48000

• Cardinal: 48000 can be written as Forty-eight thousand.

### Scientific notation

• Scientific notation: 4.8 × 104

### Factors of 48000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

### Divisors of 48000

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 159120
• Sum of proper divisors (its aliquot sum) s(n): 111120
• 48000 is an abundant number, because the sum of its proper divisors (111120) is greater than itself. Its abundance is 63120

### Bases of 48000

• Binary: 10111011100000002
• Base-36: 111C

### Squares and roots of 48000

• 48000 squared (480002) is 2304000000
• 48000 cubed (480003) is 110592000000000
• The square root of 48000 is 219.0890230021
• The cube root of 48000 is 36.3424118567

### Scales and comparisons

How big is 48000?
• 48,000 seconds is equal to 13 hours, 20 minutes.
• To count from 1 to 48,000 would take you about thirteen hours.

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 48000 cubic inches would be around 3 feet tall.

### Recreational maths with 48000

• 48000 backwards is 00084
• 48000 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 48000's digits is 12
• More coming soon!