490928256
490,928,256 is an even composite number composed of five prime numbers multiplied together.
490928256 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 490928256:
27 × 33 × 72 × 13 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 223)See below for interesting mathematical facts about the number 490928256 from the Numbermatics database.
Names of 490928256
- Cardinal: 490928256 can be written as Four hundred ninety million, nine hundred twenty-eight thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 4.90928256 × 108
Factors of 490928256
Divisors of 490928256
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 84 91 96 98 104 108 112 117 126 128 144 147 156 168 182 189 192 196 208 216 223 224 234 252 273 288 294 312 336 351 364 378 384 392 416 432 441 446 448 468 504 546 576 588 624 637 669 672 702 728 756 784 819 832 864 882 892 896 936 1008 1092 1152 1176 1248 1274 1323 1338 1344 1404 1456 1512 1561 1568 1638 1664 1728 1764 1784 1872 1911 2007 2016 2184 2352 2457 2496 2548 2646 2676 2688 2808 2899 2912 3024 3122 3136 3276 3456 3528 3568 3744 3822 4014 4032 4368 4683 4704 4914 4992 5096 5292 5352 5616 5733 5798 5824 6021 6048 6244 6272 6552 7056 7136 7488 7644 8028 8064 8697 8736 9366 9408 9828 10192 10584 10704 10927 11232 11466 11596 11648 12042 12096 12488 13104 14049 14112 14272 14976 15288 16056 17199 17394 17472 18732 18816 19656 20293 20384 21168 21408 21854 22464 22932 23192 24084 24192 24976 26091 26208 28098 28224 28544 30576 32112 32781 34398 34788 34944 37464 39312 40586 40768 42147 42336 42816 43708 44928 45864 46384 48168 49952 52182 52416 56196 56448 60879 61152 64224 65562 68796 69576 74928 78273 78624 81172 81536 84294 84672 85632 87416 91728 92768 96336 98343 99904 104364 104832 112392 121758 122304 128448 131124 137592 139152 142051 149856 156546 157248 162344 168588 169344 174832 182637 183456 185536 192672 196686 199808 208728 224784 243516 244608 256896 262248 275184 278304 284102 295029 299712 313092 314496 324688 337176 349664 365274 366912 371072 385344 393372 417456 426153 449568 487032 524496 547911 550368 556608 568204 590058 599424 626184 649376 674352 699328 730548 733824 770688 786744 834912 852306 899136 974064 1048992 1095822 1100736 1113216 1136408 1180116 1252368 1278459 1298752 1348704 1398656 1461096 1573488 1669824 1704612 1798272 1948128 2097984 2191644 2201472 2272816 2360232 2504736 2556918 2597504 2697408 2922192 3146976 3339648 3409224 3835377 3896256 4195968 4383288 4545632 4720464 5009472 5113836 5394816 5844384 6293952 6818448 7670754 7792512 8766576 9091264 9440928 10018944 10227672 11688768 12587904 13636896 15341508 17533152 18182528 18881856 20455344 23377536 27273792 30683016 35066304 37763712 40910688 54547584 61366032 70132608 81821376 122732064 163642752 245464128 490928256
- Sum of all divisors σ(n): 1823270400
- Sum of proper divisors (its aliquot sum) s(n): 1332342144
- 490928256 is an abundant number, because the sum of its proper divisors (1332342144) is greater than itself. Its abundance is 841413888
Bases of 490928256
- Binary: 111010100001011111000100000002
- Hexadecimal: 0x1D42F880
- Base-36: 84AAO0
Squares and roots of 490928256
- 490928256 squared (4909282562) is 241010552539201536
- 490928256 cubed (4909282563) is 118318890235666581701001216
-
The
square root of 490928256 is 22156.9008663215 -
The
cube root of 490928256 is 788.8710338733
Scales and comparisons
How big is 490928256?- 490,928,256 seconds is equal to 15 years, 31 weeks, 5 days, 57 minutes, 36 seconds.
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To count from 1 to 490,928,256 would take you about twenty-three 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 490928256 cubic inches would be around 65.7 feet tall.
Recreational maths with 490928256
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