828385152
828,385,152 is an even composite number composed of six prime numbers multiplied together.
828385152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 828385152:
27 × 3 × 7 × 47 × 79 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 47 × 79 × 83)See below for interesting mathematical facts about the number 828385152 from the Numbermatics database.
Names of 828385152
- Cardinal: 828385152 can be written as Eight hundred twenty-eight million, three hundred eighty-five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 8.28385152 × 108
Factors of 828385152
Divisors of 828385152
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 79 83 84 94 96 112 128 141 158 166 168 188 192 224 237 249 282 316 329 332 336 376 384 448 474 498 553 564 581 632 658 664 672 752 896 948 987 996 1106 1128 1162 1264 1316 1328 1344 1504 1659 1743 1896 1974 1992 2212 2256 2324 2528 2632 2656 2688 3008 3318 3486 3713 3792 3901 3948 3984 4424 4512 4648 5056 5264 5312 6016 6557 6636 6972 7426 7584 7802 7896 7968 8848 9024 9296 10112 10528 10624 11139 11703 13114 13272 13944 14852 15168 15604 15792 15936 17696 18048 18592 19671 21056 22278 23406 25991 26228 26544 27307 27888 29704 30336 31208 31584 31872 35392 37184 39342 42112 44556 45899 46812 51982 52456 53088 54614 55776 59408 62416 63168 70784 74368 77973 78684 81921 89112 91798 93624 103964 104912 106176 109228 111552 118816 124832 126336 137697 155946 157368 163842 178224 183596 187248 207928 209824 212352 218456 223104 237632 249664 275394 308179 311892 314736 327684 356448 367192 374496 415856 419648 436912 475264 499328 550788 616358 623784 629472 655368 712896 734384 748992 831712 839296 873824 924537 1101576 1232716 1247568 1258944 1310736 1425792 1468768 1497984 1663424 1747648 1849074 2157253 2203152 2465432 2495136 2517888 2621472 2937536 3326848 3495296 3698148 4314506 4406304 4930864 4990272 5242944 5875072 6471759 7396296 8629012 8812608 9861728 9980544 10485888 12943518 14792592 17258024 17625216 19723456 25887036 29585184 34516048 39446912 51774072 59170368 69032096 103548144 118340736 138064192 207096288 276128384 414192576 828385152
- Sum of all divisors σ(n): 2632089600
- Sum of proper divisors (its aliquot sum) s(n): 1803704448
- 828385152 is an abundant number, because the sum of its proper divisors (1803704448) is greater than itself. Its abundance is 975319296
Bases of 828385152
- Binary: 1100010110000000100111100000002
- Hexadecimal: 0x31602780
- Base-36: DP762O
Squares and roots of 828385152
- 828385152 squared (8283851522) is 686221960054063104
- 828385152 cubed (8283851523) is 568456082685122992624631808
-
The
square root of 828385152 is 28781.6808404235 -
The
cube root of 828385152 is 939.1697633795
Scales and comparisons
How big is 828385152?- 828,385,152 seconds is equal to 26 years, 17 weeks, 4 days, 18 hours, 59 minutes, 12 seconds.
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To count from 1 to 828,385,152 would take you about thirty-nine 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 828385152 cubic inches would be around 78.3 feet tall.
Recreational maths with 828385152
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