428829696
428,829,696 is an even composite number composed of five prime numbers multiplied together.
428829696 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 428829696:
210 × 32 × 19 × 31 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 31 × 79)See below for interesting mathematical facts about the number 428829696 from the Numbermatics database.
Names of 428829696
- Cardinal: 428829696 can be written as Four hundred twenty-eight million, eight hundred twenty-nine thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 4.28829696 × 108
Factors of 428829696
Divisors of 428829696
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 64 72 76 79 93 96 114 124 128 144 152 158 171 186 192 228 237 248 256 279 288 304 316 342 372 384 456 474 496 512 558 576 589 608 632 684 711 744 768 912 948 992 1024 1116 1152 1178 1216 1264 1368 1422 1488 1501 1536 1767 1824 1896 1984 2232 2304 2356 2432 2449 2528 2736 2844 2976 3002 3072 3534 3648 3792 3968 4464 4503 4608 4712 4864 4898 5056 5301 5472 5688 5952 6004 7068 7296 7347 7584 7936 8928 9006 9216 9424 9728 9796 10112 10602 10944 11376 11904 12008 13509 14136 14592 14694 15168 15872 17856 18012 18848 19456 19592 20224 21204 21888 22041 22752 23808 24016 27018 28272 29184 29388 30336 31744 35712 36024 37696 39184 40448 42408 43776 44082 45504 46531 47616 48032 54036 56544 58368 58776 60672 71424 72048 75392 78368 80896 84816 87552 88164 91008 93062 95232 96064 108072 113088 117552 121344 139593 142848 144096 150784 156736 169632 175104 176328 182016 186124 192128 216144 226176 235104 242688 279186 285696 288192 301568 313472 339264 352656 364032 372248 384256 418779 432288 452352 470208 558372 576384 603136 626944 678528 705312 728064 744496 768512 837558 864576 904704 940416 1116744 1152768 1253888 1357056 1410624 1488992 1537024 1675116 1729152 1809408 1880832 2233488 2305536 2507776 2714112 2821248 2977984 3350232 3458304 3761664 4466976 4611072 5428224 5642496 5955968 6700464 6916608 7523328 8933952 11284992 11911936 13400928 13833216 17867904 22569984 23823872 26801856 35735808 47647744 53603712 71471616 107207424 142943232 214414848 428829696
- Sum of all divisors σ(n): 1362483200
- Sum of proper divisors (its aliquot sum) s(n): 933653504
- 428829696 is an abundant number, because the sum of its proper divisors (933653504) is greater than itself. Its abundance is 504823808
Bases of 428829696
- Binary: 110011000111101101100000000002
- Hexadecimal: 0x198F6C00
- Base-36: 73BB40
Squares and roots of 428829696
- 428829696 squared (4288296962) is 183894908171452416
- 428829696 cubed (4288296963) is 78859597567111855431745536
-
The
square root of 428829696 is 20708.2035918135 -
The
cube root of 428829696 is 754.0988596579
Scales and comparisons
How big is 428829696?- 428,829,696 seconds is equal to 13 years, 33 weeks, 7 hours, 21 minutes, 36 seconds.
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To count from 1 to 428,829,696 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 428829696 cubic inches would be around 62.8 feet tall.
Recreational maths with 428829696
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