428739480
428,739,480 is an even composite number composed of five prime numbers multiplied together.
428739480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428739480:
23 × 37 × 5 × 132 × 29
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 29)See below for interesting mathematical facts about the number 428739480 from the Numbermatics database.
Names of 428739480
- Cardinal: 428739480 can be written as Four hundred twenty-eight million, seven hundred thirty-nine thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.2873948 × 108
Factors of 428739480
Divisors of 428739480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 29 30 36 39 40 45 52 54 58 60 65 72 78 81 87 90 104 108 116 117 120 130 135 145 156 162 169 174 180 195 216 232 234 243 260 261 270 290 312 324 338 348 351 360 377 390 405 435 468 486 507 520 522 540 580 585 648 676 696 702 729 754 780 783 810 845 870 936 972 1014 1044 1053 1080 1131 1160 1170 1215 1305 1352 1404 1458 1508 1521 1560 1566 1620 1690 1740 1755 1885 1944 2028 2088 2106 2187 2262 2340 2349 2430 2535 2610 2808 2916 3016 3042 3132 3159 3240 3380 3393 3480 3510 3645 3770 3915 4056 4212 4374 4524 4563 4680 4698 4860 4901 5070 5220 5265 5655 5832 6084 6264 6318 6760 6786 7020 7047 7290 7540 7605 7830 8424 8748 9048 9126 9396 9477 9720 9802 10140 10179 10440 10530 10935 11310 11745 12168 12636 13572 13689 14040 14094 14580 14703 15080 15210 15660 15795 16965 17496 18252 18792 18954 19604 20280 20358 21060 21141 21870 22620 22815 23490 24505 25272 27144 27378 28188 28431 29160 29406 30420 30537 31320 31590 33930 35235 36504 37908 39208 40716 41067 42120 42282 43740 44109 45240 45630 46980 47385 49010 50895 54756 56376 56862 58812 60840 61074 63180 63423 67860 68445 70470 73515 75816 81432 82134 84564 87480 88218 91260 91611 93960 94770 98020 101790 105705 109512 113724 117624 122148 123201 126360 126846 132327 135720 136890 140940 142155 147030 152685 164268 169128 176436 182520 183222 189540 196040 203580 205335 211410 220545 227448 244296 246402 253692 264654 273780 274833 281880 284310 294060 305370 317115 328536 352872 366444 369603 379080 396981 407160 410670 422820 441090 458055 492804 507384 529308 547560 549666 568620 588120 610740 616005 634230 661635 732888 739206 793962 821340 824499 845640 882180 916110 985608 1058616 1099332 1137240 1190943 1221480 1232010 1268460 1323270 1374165 1478412 1587924 1642680 1648998 1764360 1832220 1848015 1984905 2198664 2381886 2464020 2536920 2646540 2748330 2956824 3175848 3297996 3572829 3664440 3696030 3969810 4122495 4763772 4928040 5293080 5496660 5954715 6595992 7145658 7392060 7939620 8244990 9527544 10718487 10993320 11909430 14291316 14784120 15879240 16489980 17864145 21436974 23818860 28582632 32979960 35728290 42873948 47637720 53592435 71456580 85747896 107184870 142913160 214369740 428739480
- Sum of all divisors σ(n): 1620648000
- Sum of proper divisors (its aliquot sum) s(n): 1191908520
- 428739480 is an abundant number, because the sum of its proper divisors (1191908520) is greater than itself. Its abundance is 763169040
Bases of 428739480
- Binary: 110011000111000001011100110002
- Hexadecimal: 0x198E0B98
- Base-36: 739DI0
Squares and roots of 428739480
- 428739480 squared (4287394802) is 183817541710670400
- 428739480 cubed (4287394803) is 78809837247911137747392000
-
The
square root of 428739480 is 20706.0252100687 -
The
cube root of 428739480 is 754.0459742083
Scales and comparisons
How big is 428739480?- 428,739,480 seconds is equal to 13 years, 32 weeks, 6 days, 6 hours, 18 minutes.
-
To count from 1 to 428,739,480 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 428739480 cubic inches would be around 62.8 feet tall.
Recreational maths with 428739480
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