# 54208

## 54,208 is an even composite number composed of three prime numbers multiplied together.

What does the number 54208 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

54208 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 54208:

### 26 × 7 × 112

(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11)

See below for interesting mathematical facts about the number 54208 from the Numbermatics database.

### Names of 54208

• Cardinal: 54208 can be written as Fifty-four thousand, two hundred eight.

### Scientific notation

• Scientific notation: 5.4208 × 104

### Factors of 54208

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 20

### Divisors of 54208

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 135128
• Sum of proper divisors (its aliquot sum) s(n): 80920
• 54208 is an abundant number, because the sum of its proper divisors (80920) is greater than itself. Its abundance is 26712

### Bases of 54208

• Binary: 11010011110000002
• Base-36: 15TS

### Squares and roots of 54208

• 54208 squared (542082) is 2938507264
• 54208 cubed (542083) is 159290601766912
• The square root of 54208 is 232.8261153735
• The cube root of 54208 is 37.8460996117

### Scales and comparisons

How big is 54208?
• 54,208 seconds is equal to 15 hours, 3 minutes, 28 seconds.
• To count from 1 to 54,208 would take you about fifteen 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 54208 cubic inches would be around 3.2 feet tall.

### Recreational maths with 54208

• 54208 backwards is 80245
• The number of decimal digits it has is: 5
• The sum of 54208's digits is 19
• More coming soon!