# 2048

## 2,048 is an even composite number. It is composed of a single prime number multiplied by itself ten times.

What does the number 2048 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 12 divisors.

2048 is an even composite number. It is composed of one distinct prime number multiplied by itself ten times. It has a total of twelve divisors.

## Prime factorization of 2048:

### 211

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 2048 from the Numbermatics database.

### Names of 2048

• Cardinal: 2048 can be written as Two thousand and forty-eight.

### Scientific notation

• Scientific notation: 2.048 × 103

### Factors of 2048

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2

### Divisors of 2048

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 4095
• Sum of proper divisors (its aliquot sum) s(n): 2047
• 2048 is a deficient number, because the sum of its proper divisors (2047) is less than itself. Its deficiency is 1

### Bases of 2048

• Binary: 1000000000002
• Base-36: 1KW

### Squares and roots of 2048

• 2048 squared (20482) is 4194304
• 2048 cubed (20483) is 8589934592
• The square root of 2048 is 45.2548339959
• The cube root of 2048 is 12.6992084155

### Scales and comparisons

How big is 2048?
• 2,048 seconds is equal to 34 minutes, 8 seconds.
• To count from 1 to 2,048 would take you about thirty-four minutes.

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 2048 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2048

• 2048 backwards is 8402
• The number of decimal digits it has is: 4
• The sum of 2048's digits is 14
• More coming soon!

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"Number 2048 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 2048 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/2048/

Chicago style:
Numbermatics. 2023. "Number 2048 - Facts about the integer". https://numbermatics.com/n/2048/

The information we have on file for 2048 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 2048, math, Factors of 2048, curriculum, school, college, exams, university, Prime factorization of 2048, STEM, science, technology, engineering, physics, economics, calculator, two thousand and forty-eight.

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