49968

49,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 49968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

49968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 49968:

2⁴ × 3² × 347

(2 × 2 × 2 × 2 × 3 × 3 × 347)

See below for interesting mathematical facts about the number 49968 from the Numbermatics database.

Names of 49968

Cardinal: 49968 can be written as Forty-nine thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 4.9968 × 10⁴

Factors of 49968

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 352

Divisors of 49968

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 12492 16656 24984 49968
Sum of all divisors σ(n): 140244
Sum of proper divisors (its aliquot sum) s(n): 90276
49968 is an abundant number, because the sum of its proper divisors (90276) is greater than itself. Its abundance is 40308

Bases of 49968

Binary: 1100001100110000₂
Hexadecimal: 0xC330
Base-36: 12K0

Squares and roots of 49968

49968 squared (49968²) is 2496801024
49968 cubed (49968³) is 124760153567232
The square root of 49968 is 223.5352321223
The cube root of 49968 is 36.8324540419

Scales and comparisons

How big is 49968?

49,968 seconds is equal to 13 hours, 52 minutes, 48 seconds.
To count from 1 to 49,968 would take you about thirteen 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 49968 cubic inches would be around 3.1 feet tall.

Recreational maths with 49968

49968 backwards is 86994
49968 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 49968's digits is 36
More coming soon!

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The information we have on file for 49968 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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