428538624
428,538,624 is an even composite number composed of four prime numbers multiplied together.
428538624 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 428538624:
28 × 3 × 743 × 751
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 743 × 751)See below for interesting mathematical facts about the number 428538624 from the Numbermatics database.
Names of 428538624
- Cardinal: 428538624 can be written as Four hundred twenty-eight million, five hundred thirty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 4.28538624 × 108
Factors of 428538624
Divisors of 428538624
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 743 751 768 1486 1502 2229 2253 2972 3004 4458 4506 5944 6008 8916 9012 11888 12016 17832 18024 23776 24032 35664 36048 47552 48064 71328 72096 95104 96128 142656 144192 190208 192256 285312 288384 557993 570624 576768 1115986 1673979 2231972 3347958 4463944 6695916 8927888 13391832 17855776 26783664 35711552 53567328 71423104 107134656 142846208 214269312 428538624
- Sum of all divisors σ(n): 1143593472
- Sum of proper divisors (its aliquot sum) s(n): 715054848
- 428538624 is an abundant number, because the sum of its proper divisors (715054848) is greater than itself. Its abundance is 286516224
Bases of 428538624
- Binary: 110011000101011111011000000002
- Hexadecimal: 0x198AFB00
- Base-36: 7352IO
Squares and roots of 428538624
- 428538624 squared (4285386242) is 183645352259813376
- 428538624 cubed (4285386243) is 78699126561415714647834624
-
The
square root of 428538624 is 20701.1744594359 -
The
cube root of 428538624 is 753.9282039207
Scales and comparisons
How big is 428538624?- 428,538,624 seconds is equal to 13 years, 32 weeks, 3 days, 22 hours, 30 minutes, 24 seconds.
-
To count from 1 to 428,538,624 would take you about twenty years!
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 428538624 cubic inches would be around 62.8 feet tall.
Recreational maths with 428538624
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