# 36288

## 36,288 is an even composite number composed of three prime numbers multiplied together.

What does the number 36288 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 70 divisors.

36288 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy divisors.

## Prime factorization of 36288:

### 26 × 34 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 36288 from the Numbermatics database.

### Names of 36288

• Cardinal: 36288 can be written as Thirty-six thousand, two hundred eighty-eight.

### Scientific notation

• Scientific notation: 3.6288 × 104

### Factors of 36288

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 12

### Divisors of 36288

• Number of divisors d(n): 70
• Complete list of divisors:
• Sum of all divisors σ(n): 122936
• Sum of proper divisors (its aliquot sum) s(n): 86648
• 36288 is an abundant number, because the sum of its proper divisors (86648) is greater than itself. Its abundance is 50360

### Bases of 36288

• Binary: 10001101110000002
• Base-36: S00

### Squares and roots of 36288

• 36288 squared (362882) is 1316818944
• 36288 cubed (362883) is 47784725839872
• The square root of 36288 is 190.4940943967
• The cube root of 36288 is 33.1070901165

### Scales and comparisons

How big is 36288?
• 36,288 seconds is equal to 10 hours, 4 minutes, 48 seconds.
• To count from 1 to 36,288 would take you about ten 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 36288 cubic inches would be around 2.8 feet tall.

### Recreational maths with 36288

• 36288 backwards is 88263
• 36288 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 36288's digits is 27
• More coming soon!