# 48200

## 48,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 48200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

48200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 48200:

### 23 × 52 × 241

(2 × 2 × 2 × 5 × 5 × 241)

See below for interesting mathematical facts about the number 48200 from the Numbermatics database.

### Names of 48200

• Cardinal: 48200 can be written as Forty-eight thousand, two hundred.

### Scientific notation

• Scientific notation: 4.82 × 104

### Factors of 48200

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 248

### Divisors of 48200

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 112530
• Sum of proper divisors (its aliquot sum) s(n): 64330
• 48200 is an abundant number, because the sum of its proper divisors (64330) is greater than itself. Its abundance is 16130

### Bases of 48200

• Binary: 10111100010010002
• Base-36: 116W

### Squares and roots of 48200

• 48200 squared (482002) is 2323240000
• 48200 cubed (482003) is 111980168000000
• The square root of 48200 is 219.5449840011
• The cube root of 48200 is 36.3928174855

### Scales and comparisons

How big is 48200?
• 48,200 seconds is equal to 13 hours, 23 minutes, 20 seconds.
• To count from 1 to 48,200 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 48200 cubic inches would be around 3 feet tall.

### Recreational maths with 48200

• 48200 backwards is 00284
• The number of decimal digits it has is: 5
• The sum of 48200's digits is 14
• More coming soon!