# 47520

## 47,520 is an even composite number composed of four prime numbers multiplied together.

What does the number 47520 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.

47520 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.

## Prime factorization of 47520:

### 25 × 33 × 5 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 47520 from the Numbermatics database.

### Names of 47520

• Cardinal: 47520 can be written as Forty-seven thousand, five hundred twenty.

### Scientific notation

• Scientific notation: 4.752 × 104

### Factors of 47520

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 21

### Divisors of 47520

• Number of divisors d(n): 96
• Complete list of divisors:
• Sum of all divisors σ(n): 181440
• Sum of proper divisors (its aliquot sum) s(n): 133920
• 47520 is an abundant number, because the sum of its proper divisors (133920) is greater than itself. Its abundance is 86400

### Bases of 47520

• Binary: 10111001101000002
• Base-36: 10O0

### Squares and roots of 47520

• 47520 squared (475202) is 2258150400
• 47520 cubed (475203) is 107307307008000
• The square root of 47520 is 217.9908254951
• The cube root of 47520 is 36.2208644207

### Scales and comparisons

How big is 47520?
• 47,520 seconds is equal to 13 hours, 12 minutes.
• To count from 1 to 47,520 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 47520 cubic inches would be around 3 feet tall.

### Recreational maths with 47520

• 47520 backwards is 02574
• 47520 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 47520's digits is 18
• More coming soon!