# 48768

## 48,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 48768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

48768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 48768:

### 27 × 3 × 127

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 127)

See below for interesting mathematical facts about the number 48768 from the Numbermatics database.

### Names of 48768

• Cardinal: 48768 can be written as Forty-eight thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 4.8768 × 104

### Factors of 48768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 132

### Divisors of 48768

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 130560
• Sum of proper divisors (its aliquot sum) s(n): 81792
• 48768 is an abundant number, because the sum of its proper divisors (81792) is greater than itself. Its abundance is 33024

### Bases of 48768

• Binary: 10111110100000002
• Base-36: 11MO

### Squares and roots of 48768

• 48768 squared (487682) is 2378317824
• 48768 cubed (487683) is 115985803640832
• The square root of 48768 is 220.8347798695
• The cube root of 48768 is 36.5352134055

### Scales and comparisons

How big is 48768?
• 48,768 seconds is equal to 13 hours, 32 minutes, 48 seconds.
• To count from 1 to 48,768 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 48768 cubic inches would be around 3 feet tall.

### Recreational maths with 48768

• 48768 backwards is 86784
• The number of decimal digits it has is: 5
• The sum of 48768's digits is 33
• More coming soon!