27948

27,948 is an even composite number composed of four prime numbers multiplied together.

What does the number 27948 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

27948 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 27948:

2² × 3 × 17 × 137

(2 × 2 × 3 × 17 × 137)

See below for interesting mathematical facts about the number 27948 from the Numbermatics database.

Names of 27948

Cardinal: 27948 can be written as Twenty-seven thousand, nine hundred forty-eight.

Scientific notation

Scientific notation: 2.7948 × 10⁴

Factors of 27948

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 159

Divisors of 27948

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 12 17 34 51 68 102 137 204 274 411 548 822 1644 2329 4658 6987 9316 13974 27948
Sum of all divisors σ(n): 69552
Sum of proper divisors (its aliquot sum) s(n): 41604
27948 is an abundant number, because the sum of its proper divisors (41604) is greater than itself. Its abundance is 13656

Bases of 27948

Binary: 110110100101100₂
Hexadecimal: 0x6D2C
Base-36: LKC

Squares and roots of 27948

27948 squared (27948²) is 781090704
27948 cubed (27948³) is 21829922995392
The square root of 27948 is 167.1765533801
The cube root of 27948 is 30.3470801381

Scales and comparisons

How big is 27948?

27,948 seconds is equal to 7 hours, 45 minutes, 48 seconds.
To count from 1 to 27,948 would take you about seven hours.

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 27948 cubic inches would be around 2.5 feet tall.

Recreational maths with 27948

27948 backwards is 84972
The number of decimal digits it has is: 5
The sum of 27948's digits is 30
More coming soon!

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The information we have on file for 27948 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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