480535328
480,535,328 is an even composite number composed of five prime numbers multiplied together.
480535328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 480535328:
25 × 7 × 13 × 172 × 571
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 17 × 571)See below for interesting mathematical facts about the number 480535328 from the Numbermatics database.
Names of 480535328
- Cardinal: 480535328 can be written as Four hundred eighty million, five hundred thirty-five thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 4.80535328 × 108
Factors of 480535328
Divisors of 480535328
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 289 364 416 442 476 544 571 578 728 884 952 1142 1156 1456 1547 1768 1904 2023 2284 2312 2912 3094 3536 3757 3808 3997 4046 4568 4624 6188 7072 7423 7514 7994 8092 9136 9248 9707 12376 14846 15028 15988 16184 18272 19414 24752 26299 29692 30056 31976 32368 38828 49504 51961 52598 59384 60112 63952 64736 67949 77656 103922 105196 118768 120224 126191 127904 135898 155312 165019 207844 210392 237536 252382 271796 310624 330038 415688 420784 504764 543592 660076 831376 841568 883337 1009528 1087184 1155133 1320152 1662752 1766674 2019056 2145247 2174368 2310266 2640304 3533348 4038112 4290494 4620532 5280608 7066696 8580988 9241064 14133392 15016729 17161976 18482128 28266784 30033458 34323952 36964256 60066916 68647904 120133832 240267664 480535328
- Sum of all divisors σ(n): 1239061824
- Sum of proper divisors (its aliquot sum) s(n): 758526496
- 480535328 is an abundant number, because the sum of its proper divisors (758526496) is greater than itself. Its abundance is 277991168
Bases of 480535328
- Binary: 111001010010001100011001000002
- Hexadecimal: 0x1CA46320
- Base-36: 7Y3JFK
Squares and roots of 480535328
- 480535328 squared (4805353282) is 230914201456067584
- 480535328 cubed (4805353283) is 110962431536549514067607552
-
The
square root of 480535328 is 21921.1160299835 -
The
cube root of 480535328 is 783.2644948513
Scales and comparisons
How big is 480535328?- 480,535,328 seconds is equal to 15 years, 14 weeks, 3 days, 18 hours, 2 minutes, 8 seconds.
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To count from 1 to 480,535,328 would take you about twenty-two 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 480535328 cubic inches would be around 65.3 feet tall.
Recreational maths with 480535328
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Numbermatics. (2024). Number 480535328 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/480535328/
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