# 1248

## 1,248 is an even composite number composed of three prime numbers multiplied together.

What does the number 1248 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1248 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1248:

### 25 × 3 × 13

(2 × 2 × 2 × 2 × 2 × 3 × 13)

See below for interesting mathematical facts about the number 1248 from the Numbermatics database.

### Names of 1248

• Cardinal: 1248 can be written as One thousand, two hundred forty-eight.

### Scientific notation

• Scientific notation: 1.248 × 103

### Factors of 1248

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 18

### Divisors of 1248

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 3528
• Sum of proper divisors (its aliquot sum) s(n): 2280
• 1248 is an abundant number, because the sum of its proper divisors (2280) is greater than itself. Its abundance is 1032

### Bases of 1248

• Binary: 100111000002
• Base-36: YO

### Squares and roots of 1248

• 1248 squared (12482) is 1557504
• 1248 cubed (12483) is 1943764992
• The square root of 1248 is 35.3270434653
• The cube root of 1248 is 10.7664252241

### Scales and comparisons

How big is 1248?
• 1,248 seconds is equal to 20 minutes, 48 seconds.
• To count from 1 to 1,248 would take you about twenty 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 1248 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1248

• 1248 backwards is 8421
• The number of decimal digits it has is: 4
• The sum of 1248's digits is 15
• More coming soon!