# 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!