# 48300

## 48,300 is an even composite number composed of five prime numbers multiplied together.

What does the number 48300 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 72 divisors.

48300 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 48300:

### 22 × 3 × 52 × 7 × 23

(2 × 2 × 3 × 5 × 5 × 7 × 23)

See below for interesting mathematical facts about the number 48300 from the Numbermatics database.

### Names of 48300

• Cardinal: 48300 can be written as Forty-eight thousand, three hundred.

### Scientific notation

• Scientific notation: 4.83 × 104

### Factors of 48300

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 40

### Divisors of 48300

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 166656
• Sum of proper divisors (its aliquot sum) s(n): 118356
• 48300 is an abundant number, because the sum of its proper divisors (118356) is greater than itself. Its abundance is 70056

### Bases of 48300

• Binary: 10111100101011002
• Base-36: 119O

### Squares and roots of 48300

• 48300 squared (483002) is 2332890000
• 48300 cubed (483003) is 112678587000000
• The square root of 48300 is 219.7726097583
• The cube root of 48300 is 36.4179680239

### Scales and comparisons

How big is 48300?
• 48,300 seconds is equal to 13 hours, 25 minutes.
• To count from 1 to 48,300 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 48300 cubic inches would be around 3 feet tall.

### Recreational maths with 48300

• 48300 backwards is 00384
• 48300 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 48300's digits is 15
• More coming soon!