421728

421,728 is an even composite number composed of four prime numbers multiplied together.

What does the number 421728 look like?

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

421728 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 421728:

2⁵ × 3 × 23 × 191

(2 × 2 × 2 × 2 × 2 × 3 × 23 × 191)

See below for interesting mathematical facts about the number 421728 from the Numbermatics database.

Names of 421728

Cardinal: 421728 can be written as Four hundred twenty-one thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 4.21728 × 10⁵

Factors of 421728

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 219

Divisors of 421728

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 191 276 368 382 552 573 736 764 1104 1146 1528 2208 2292 3056 4393 4584 6112 8786 9168 13179 17572 18336 26358 35144 52716 70288 105432 140576 210864 421728
Sum of all divisors σ(n): 1161216
Sum of proper divisors (its aliquot sum) s(n): 739488
421728 is an abundant number, because the sum of its proper divisors (739488) is greater than itself. Its abundance is 317760

Bases of 421728

Binary: 1100110111101100000₂
Hexadecimal: 0x66F60
Base-36: 91EO

Squares and roots of 421728

421728 squared (421728²) is 177854505984
421728 cubed (421728³) is 75006225099620352
The square root of 421728 is 649.4058823261
The cube root of 421728 is 74.9912878769

Scales and comparisons

How big is 421728?

421,728 seconds is equal to 4 days, 21 hours, 8 minutes, 48 seconds.
To count from 1 to 421,728 would take you about four days.

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 421728 cubic inches would be around 6.2 feet tall.

Recreational maths with 421728

421728 backwards is 827124
421728 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 421728's digits is 24
More coming soon!

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The information we have on file for 421728 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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