# 85008

## 85,008 is an even composite number composed of five prime numbers multiplied together.

What does the number 85008 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.

85008 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.

## Prime factorization of 85008:

### 24 × 3 × 7 × 11 × 23

(2 × 2 × 2 × 2 × 3 × 7 × 11 × 23)

See below for interesting mathematical facts about the number 85008 from the Numbermatics database.

### Names of 85008

• Cardinal: 85008 can be written as Eighty-five thousand and eight.

### Scientific notation

• Scientific notation: 8.5008 × 104

### Factors of 85008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 46

### Divisors of 85008

• Number of divisors d(n): 80
• Complete list of divisors:
• Sum of all divisors σ(n): 285696
• Sum of proper divisors (its aliquot sum) s(n): 200688
• 85008 is an abundant number, because the sum of its proper divisors (200688) is greater than itself. Its abundance is 115680

### Bases of 85008

• Binary: 101001100000100002
• Base-36: 1TLC

### Squares and roots of 85008

• 85008 squared (850082) is 7226360064
• 85008 cubed (850083) is 614298416320512
• The square root of 85008 is 291.5613143063
• The cube root of 85008 is 43.9696760759

### Scales and comparisons

How big is 85008?
• 85,008 seconds is equal to 23 hours, 36 minutes, 48 seconds.
• To count from 1 to 85,008 would take you about twenty-three 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 85008 cubic inches would be around 3.7 feet tall.

### Recreational maths with 85008

• 85008 backwards is 80058
• 85008 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 85008's digits is 21
• More coming soon!