4968

4,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 4968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

4968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 4968:

2³ × 3³ × 23

(2 × 2 × 2 × 3 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 4968 from the Numbermatics database.

Names of 4968

Cardinal: 4968 can be written as Four thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 4.968 × 10³

Factors of 4968

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 28

Divisors of 4968

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968
Sum of all divisors σ(n): 14400
Sum of proper divisors (its aliquot sum) s(n): 9432
4968 is an abundant number, because the sum of its proper divisors (9432) is greater than itself. Its abundance is 4464

Bases of 4968

Binary: 1001101101000₂
Hexadecimal: 0x1368
Base-36: 3U0

Squares and roots of 4968

4968 squared (4968²) is 24681024
4968 cubed (4968³) is 122615327232
The square root of 4968 is 70.4840407469
The cube root of 4968 is 17.0632018791

Scales and comparisons

How big is 4968?

4,968 seconds is equal to 1 hour, 22 minutes, 48 seconds.
To count from 1 to 4,968 would take you about twenty-two 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 4968 cubic inches would be around 1.4 feet tall.

Recreational maths with 4968

4968 backwards is 8694
4968 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 4968's digits is 27
More coming soon!

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The information we have on file for 4968 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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