421824

421,824 is an even composite number composed of three prime numbers multiplied together.

What does the number 421824 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 56 divisors.

421824 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-six divisors.

Prime factorization of 421824:

2⁶ × 3 × 13³

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13)

See below for interesting mathematical facts about the number 421824 from the Numbermatics database.

Names of 421824

Cardinal: 421824 can be written as Four hundred twenty-one thousand, eight hundred twenty-four.

Scientific notation

Scientific notation: 4.21824 × 10⁵

Factors of 421824

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 18

Divisors of 421824

Number of divisors d(n): 56
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2197 2496 2704 4056 4394 5408 6591 8112 8788 10816 13182 16224 17576 26364 32448 35152 52728 70304 105456 140608 210912 421824
Sum of all divisors σ(n): 1209040
Sum of proper divisors (its aliquot sum) s(n): 787216
421824 is an abundant number, because the sum of its proper divisors (787216) is greater than itself. Its abundance is 365392

Bases of 421824

Binary: 1100110111111000000₂
Hexadecimal: 0x66FC0
Base-36: 91HC

Squares and roots of 421824

421824 squared (421824²) is 177935486976
421824 cubed (421824³) is 75057458858164224
The square root of 421824 is 649.4797918335
The cube root of 421824 is 74.9969776559

Scales and comparisons

How big is 421824?

421,824 seconds is equal to 4 days, 21 hours, 10 minutes, 24 seconds.
To count from 1 to 421,824 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 421824 cubic inches would be around 6.2 feet tall.

Recreational maths with 421824

421824 backwards is 428124
The number of decimal digits it has is: 6
The sum of 421824's digits is 21
More coming soon!

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The information we have on file for 421824 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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