# 1488

## 1,488 is an even composite number composed of three prime numbers multiplied together.

What does the number 1488 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

1488 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 1488:

### 24 × 3 × 31

(2 × 2 × 2 × 2 × 3 × 31)

See below for interesting mathematical facts about the number 1488 from the Numbermatics database.

### Names of 1488

• Cardinal: 1488 can be written as One thousand, four hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.488 × 103

### Factors of 1488

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 36

### Divisors of 1488

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 3968
• Sum of proper divisors (its aliquot sum) s(n): 2480
• 1488 is an abundant number, because the sum of its proper divisors (2480) is greater than itself. Its abundance is 992

### Bases of 1488

• Binary: 101110100002
• Base-36: 15C

### Squares and roots of 1488

• 1488 squared (14882) is 2214144
• 1488 cubed (14883) is 3294646272
• The square root of 1488 is 38.5746030439
• The cube root of 1488 is 11.4165349467

### Scales and comparisons

How big is 1488?
• 1,488 seconds is equal to 24 minutes, 48 seconds.
• To count from 1 to 1,488 would take you about twenty-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 1488 cubic inches would be around 1 feet tall.

### Recreational maths with 1488

• 1488 backwards is 8841
• The number of decimal digits it has is: 4
• The sum of 1488's digits is 21
• More coming soon!

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"Number 1488 - Facts about the integer". Numbermatics.com. 2023. Web. 30 March 2023.

APA style:
Numbermatics. (2023). Number 1488 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/1488/

Chicago style:
Numbermatics. 2023. "Number 1488 - Facts about the integer". https://numbermatics.com/n/1488/

The information we have on file for 1488 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!

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