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:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248
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
Hexadecimal: 0x4E0
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!

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The information we have on file for 1248 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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