# 42768

## 42,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 42768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

42768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 42768:

### 24 × 35 × 11

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

See below for interesting mathematical facts about the number 42768 from the Numbermatics database.

### Names of 42768

• Cardinal: 42768 can be written as Forty-two thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 4.2768 × 104

### Factors of 42768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 16

### Divisors of 42768

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 135408
• Sum of proper divisors (its aliquot sum) s(n): 92640
• 42768 is an abundant number, because the sum of its proper divisors (92640) is greater than itself. Its abundance is 49872

### Bases of 42768

• Binary: 10100111000100002
• Base-36: X00

### Squares and roots of 42768

• 42768 squared (427682) is 1829101824
• 42768 cubed (427683) is 78227026808832
• The square root of 42768 is 206.8042552753
• The cube root of 42768 is 34.9708600995

### Scales and comparisons

How big is 42768?
• 42,768 seconds is equal to 11 hours, 52 minutes, 48 seconds.
• To count from 1 to 42,768 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 42768 cubic inches would be around 2.9 feet tall.

### Recreational maths with 42768

• 42768 backwards is 86724
• 42768 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 42768's digits is 27
• More coming soon!