98208

98,208 is an even composite number composed of four prime numbers multiplied together.

What does the number 98208 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

98208 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

Prime factorization of 98208:

2⁵ × 3² × 11 × 31

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 31)

See below for interesting mathematical facts about the number 98208 from the Numbermatics database.

Names of 98208

Cardinal: 98208 can be written as Ninety-eight thousand, two hundred eight.

Scientific notation

Scientific notation: 9.8208 × 10⁴

Factors of 98208

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 47

Divisors of 98208

Number of divisors d(n): 72
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 98208
Sum of all divisors σ(n): 314496
Sum of proper divisors (its aliquot sum) s(n): 216288
98208 is an abundant number, because the sum of its proper divisors (216288) is greater than itself. Its abundance is 118080

Bases of 98208

Binary: 10111111110100000₂
Hexadecimal: 0x17FA0
Base-36: 23S0

Squares and roots of 98208

98208 squared (98208²) is 9644811264
98208 cubed (98208³) is 947197624614912
The square root of 98208 is 313.3815565729
The cube root of 98208 is 46.1369579237

Scales and comparisons

How big is 98208?

98,208 seconds is equal to 1 day, 3 hours, 16 minutes, 48 seconds.
To count from 1 to 98,208 would take you about three 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 98208 cubic inches would be around 3.8 feet tall.

Recreational maths with 98208

98208 backwards is 80289
The number of decimal digits it has is: 5
The sum of 98208's digits is 27
More coming soon!

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The information we have on file for 98208 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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