27972

27,972 is an even composite number composed of four prime numbers multiplied together.

What does the number 27972 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

27972 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 27972:

2² × 3³ × 7 × 37

(2 × 2 × 3 × 3 × 3 × 7 × 37)

See below for interesting mathematical facts about the number 27972 from the Numbermatics database.

Names of 27972

Cardinal: 27972 can be written as Twenty-seven thousand, nine hundred seventy-two.

Scientific notation

Scientific notation: 2.7972 × 10⁴

Factors of 27972

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 49

Divisors of 27972

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 6993 9324 13986 27972
Sum of all divisors σ(n): 85120
Sum of proper divisors (its aliquot sum) s(n): 57148
27972 is an abundant number, because the sum of its proper divisors (57148) is greater than itself. Its abundance is 29176

Bases of 27972

Binary: 110110101000100₂
Hexadecimal: 0x6D44
Base-36: LL0

Squares and roots of 27972

27972 squared (27972²) is 782432784
27972 cubed (27972³) is 21886209834048
The square root of 27972 is 167.2483183771
The cube root of 27972 is 30.3557643795

Scales and comparisons

How big is 27972?

27,972 seconds is equal to 7 hours, 46 minutes, 12 seconds.
To count from 1 to 27,972 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 27972 cubic inches would be around 2.5 feet tall.

Recreational maths with 27972

27972 is the same when its digits are reversed! That makes it a palindromic number.
27972 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 27972's digits is 27
More coming soon!

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The information we have on file for 27972 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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