472747968
472,747,968 is an even composite number composed of six prime numbers multiplied together.
472747968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 472747968:
26 × 33 × 7 × 112 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 17 × 19)See below for interesting mathematical facts about the number 472747968 from the Numbermatics database.
Names of 472747968
- Cardinal: 472747968 can be written as Four hundred seventy-two million, seven hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.72747968 × 108
Factors of 472747968
Divisors of 472747968
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 19 21 22 24 27 28 32 33 34 36 38 42 44 48 51 54 56 57 63 64 66 68 72 76 77 84 88 96 99 102 108 112 114 119 121 126 132 133 136 144 152 153 154 168 171 176 187 189 192 198 204 209 216 224 228 231 238 242 252 264 266 272 288 297 304 306 308 323 336 342 352 357 363 374 378 396 399 408 418 432 448 456 459 462 476 484 504 513 528 532 544 561 576 594 608 612 616 627 646 672 684 693 704 714 726 748 756 792 798 816 836 847 864 912 918 924 952 968 969 1008 1026 1056 1064 1071 1088 1089 1122 1188 1197 1216 1224 1232 1254 1292 1309 1344 1368 1386 1428 1452 1463 1496 1512 1584 1596 1632 1672 1683 1694 1728 1824 1836 1848 1881 1904 1936 1938 2016 2052 2057 2079 2112 2128 2142 2178 2244 2261 2299 2376 2394 2448 2464 2508 2541 2584 2618 2736 2772 2856 2904 2907 2926 2992 3024 3168 3192 3213 3264 3267 3344 3366 3388 3553 3591 3648 3672 3696 3762 3808 3872 3876 3927 4032 4104 4114 4158 4256 4284 4356 4389 4488 4522 4598 4752 4788 4896 4928 5016 5049 5082 5168 5236 5472 5544 5643 5712 5808 5814 5852 5984 6048 6171 6336 6384 6426 6534 6688 6732 6776 6783 6897 7106 7182 7344 7392 7524 7616 7623 7744 7752 7854 8208 8228 8316 8512 8568 8712 8721 8778 8976 9044 9196 9504 9576 9792 10032 10098 10164 10336 10472 10659 10944 11088 11286 11424 11616 11628 11704 11781 11968 12096 12342 12768 12852 13068 13167 13376 13464 13552 13566 13794 14212 14364 14399 14688 14784 15048 15246 15504 15708 16093 16416 16456 16632 17136 17424 17442 17556 17952 18088 18392 18513 19008 19152 20064 20196 20328 20349 20672 20691 20944 21318 22176 22572 22848 22869 23232 23256 23408 23562 24684 24871 25536 25704 26136 26334 26928 27104 27132 27588 28424 28728 28798 29376 30096 30492 31008 31416 31977 32186 32832 32912 33264 34272 34848 34884 35112 35343 35904 36176 36784 37026 38304 39083 39501 40128 40392 40656 40698 41382 41888 42636 43197 44352 45144 45738 46512 46816 47124 48279 49368 49742 51408 52272 52668 53856 54208 54264 55176 55539 56848 57456 57596 60192 60984 61047 62016 62073 62832 63954 64372 65824 66528 68544 69696 69768 70224 70686 72352 73568 74052 74613 76608 78166 79002 80784 81312 81396 82764 83776 85272 86394 90288 91476 93024 93632 94248 95931 96558 98736 99484 102816 104544 105336 107712 108528 110352 111078 113696 114912 115192 117249 120384 121968 122094 124146 125664 127908 128744 129591 131648 133056 139536 140448 141372 144704 144837 147136 148104 149226 156332 158004 161568 162624 162792 165528 170544 172788 180576 182952 186048 188496 191862 193116 197472 198968 205632 209088 210672 217056 220704 222156 223839 227392 229824 230384 234498 243936 244188 248292 251328 255816 257488 259182 273581 279072 280896 282744 289674 296208 298452 312664 316008 323136 325584 331056 341088 345576 351747 361152 365904 376992 383724 386232 388773 394944 397936 421344 434112 434511 441408 444312 447678 460768 468996 487872 488376 496584 511632 514976 518364 547162 558144 565488 579348 592416 596904 625328 632016 651168 662112 671517 682176 691152 703494 731808 753984 767448 772464 777546 795872 820743 842688 869022 888624 895356 921536 937992 976752 993168 1023264 1029952 1036728 1055241 1094324 1130976 1158696 1184832 1193808 1250656 1264032 1302336 1324224 1343034 1382304 1406988 1463616 1534896 1544928 1555092 1591744 1641486 1738044 1777248 1790712 1875984 1953504 1986336 2046528 2073456 2110482 2188648 2261952 2317392 2387616 2462229 2501312 2528064 2686068 2764608 2813976 3069792 3089856 3110184 3282972 3476088 3554496 3581424 3751968 3907008 3972672 4146912 4220964 4377296 4634784 4775232 4924458 5372136 5627952 6139584 6220368 6565944 6952176 7162848 7386687 7503936 8293824 8441928 8754592 9269568 9848916 10744272 11255904 12440736 13131888 13904352 14325696 14773374 16883856 17509184 19697832 21488544 22511808 24881472 26263776 27808704 29546748 33767712 39395664 42977088 52527552 59093496 67535424 78791328 118186992 157582656 236373984 472747968
- Sum of all divisors σ(n): 1945843200
- Sum of proper divisors (its aliquot sum) s(n): 1473095232
- 472747968 is an abundant number, because the sum of its proper divisors (1473095232) is greater than itself. Its abundance is 1000347264
Bases of 472747968
- Binary: 111000010110110001111110000002
- Hexadecimal: 0x1C2D8FC0
- Base-36: 7TGMO0
Squares and roots of 472747968
- 472747968 squared (4727479682) is 223490641248129024
- 472747968 cubed (4727479683) is 105654746517069979897823232
-
The
square root of 472747968 is 21742.7681770283 -
The
cube root of 472747968 is 779.0103424949
Scales and comparisons
How big is 472747968?- 472,747,968 seconds is equal to 15 years, 1 week, 4 days, 14 hours, 52 minutes, 48 seconds.
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To count from 1 to 472,747,968 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 472747968 cubic inches would be around 64.9 feet tall.
Recreational maths with 472747968
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