# 42480

## 42,480 is an even composite number composed of four prime numbers multiplied together.

What does the number 42480 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

42480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 42480:

### 24 × 32 × 5 × 59

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 59)

See below for interesting mathematical facts about the number 42480 from the Numbermatics database.

### Names of 42480

• Cardinal: 42480 can be written as Forty-two thousand, four hundred eighty.

### Scientific notation

• Scientific notation: 4.248 × 104

### Factors of 42480

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 69

### Divisors of 42480

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 145080
• Sum of proper divisors (its aliquot sum) s(n): 102600
• 42480 is an abundant number, because the sum of its proper divisors (102600) is greater than itself. Its abundance is 60120

### Bases of 42480

• Binary: 10100101111100002
• Base-36: WS0

### Squares and roots of 42480

• 42480 squared (424802) is 1804550400
• 42480 cubed (424803) is 76657300992000
• The square root of 42480 is 206.1067684477
• The cube root of 42480 is 34.8921852329

### Scales and comparisons

How big is 42480?
• 42,480 seconds is equal to 11 hours, 48 minutes.
• To count from 1 to 42,480 would take you about eleven 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 42480 cubic inches would be around 2.9 feet tall.

### Recreational maths with 42480

• 42480 backwards is 08424
• 42480 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 42480's digits is 18
• More coming soon!