472380480
472,380,480 is an even composite number composed of seven prime numbers multiplied together.
472380480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 472380480:
26 × 32 × 5 × 11 × 13 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 31 × 37)See below for interesting mathematical facts about the number 472380480 from the Numbermatics database.
Names of 472380480
- Cardinal: 472380480 can be written as Four hundred seventy-two million, three hundred eighty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.7238048 × 108
Factors of 472380480
Divisors of 472380480
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 31 32 33 36 37 39 40 44 45 48 52 55 60 62 64 65 66 72 74 78 80 88 90 93 96 99 104 110 111 117 120 124 130 132 143 144 148 155 156 160 165 176 180 185 186 192 195 198 208 220 222 234 240 248 260 264 279 286 288 296 310 312 320 330 333 341 352 360 370 372 390 396 403 407 416 429 440 444 465 468 480 481 495 496 520 528 555 558 572 576 585 592 620 624 660 666 682 704 715 720 740 744 780 792 806 814 832 858 880 888 930 936 960 962 990 992 1023 1040 1056 1110 1116 1144 1147 1170 1184 1209 1221 1240 1248 1287 1320 1332 1364 1395 1430 1440 1443 1480 1488 1560 1584 1612 1628 1665 1705 1716 1760 1776 1860 1872 1924 1980 1984 2015 2035 2046 2080 2112 2145 2220 2232 2288 2294 2340 2368 2405 2418 2442 2480 2496 2574 2640 2664 2728 2790 2860 2880 2886 2960 2976 3069 3120 3168 3224 3256 3330 3410 3432 3441 3520 3552 3627 3663 3720 3744 3848 3960 4030 4070 4092 4160 4290 4329 4433 4440 4464 4576 4588 4680 4810 4836 4884 4960 5115 5148 5280 5291 5328 5456 5580 5720 5735 5772 5920 5952 6045 6105 6138 6240 6336 6435 6448 6512 6660 6820 6864 6882 7104 7215 7254 7326 7440 7488 7696 7920 8060 8140 8184 8580 8658 8866 8880 8928 9152 9176 9360 9620 9672 9768 9920 10230 10296 10323 10560 10582 10656 10912 11160 11440 11470 11544 11840 12090 12210 12276 12480 12617 12870 12896 13024 13299 13320 13640 13728 13764 14430 14508 14652 14880 14911 15345 15392 15840 15873 16120 16280 16368 17160 17205 17316 17732 17760 17856 18135 18315 18352 18720 19240 19344 19536 20460 20592 20646 21164 21312 21645 21824 22165 22320 22880 22940 23088 24180 24420 24552 25234 25740 25792 26048 26455 26598 26640 27280 27456 27528 28860 29016 29304 29760 29822 30690 30784 31680 31746 32240 32560 32736 34320 34410 34632 35464 35520 36270 36630 36704 37440 37851 38480 38688 39072 39897 40920 41184 41292 42328 43290 44330 44640 44733 45760 45880 46176 47619 48360 48840 49104 50468 51480 51615 52910 53196 53280 54560 55056 57720 58032 58608 59644 61380 63085 63492 64480 65120 65472 66495 68640 68820 69264 70928 72540 73260 73408 74555 75702 76960 77376 78144 79365 79794 81840 82368 82584 84656 86580 88660 89280 89466 91760 92352 95238 96720 97680 98208 100936 102960 103230 105820 106392 106560 109120 110112 113553 115440 116064 117216 119288 122760 126170 126984 128960 130240 132990 134199 137280 137640 138528 141856 145080 146520 149110 151404 153920 158730 159588 163680 164021 165168 169312 173160 177320 178932 183520 189255 190476 193440 195360 196416 199485 201872 205920 206460 211640 212784 220224 223665 227106 230880 232128 234432 238095 238576 245520 252340 253968 265980 268398 275280 277056 283712 290160 293040 298220 302808 317460 319176 327360 328042 330336 338624 346320 354640 357864 367040 378510 380952 386880 390720 398970 403744 411840 412920 423280 425568 447330 454212 461760 476190 477152 491040 492063 504680 507936 531960 536796 550560 567765 580320 586080 596440 605616 634920 638352 656084 660672 670995 692640 709280 715728 757020 761904 797940 807488 820105 825840 846560 851136 894660 908424 952380 954304 982080 984126 1009360 1015872 1063920 1073592 1101120 1135530 1160640 1172160 1192880 1211232 1269840 1276704 1312168 1341990 1385280 1418560 1431456 1476189 1514040 1523808 1595880 1640210 1651680 1693120 1789320 1816848 1904760 1968252 2018720 2127840 2147184 2271060 2385760 2422464 2460315 2539680 2553408 2624336 2683980 2862912 2952378 3028080 3047616 3191760 3280420 3303360 3578640 3633696 3809520 3936504 4037440 4255680 4294368 4542120 4771520 4920630 5079360 5248672 5367960 5904756 6056160 6383520 6560840 7157280 7267392 7380945 7619040 7873008 8588736 9084240 9841260 10497344 10735920 11809512 12112320 12767040 13121680 14314560 14761890 15238080 15746016 18168480 19682520 21471840 23619024 26243360 29523780 31492032 36336960 39365040 42943680 47238048 52486720 59047560 78730080 94476096 118095120 157460160 236190240 472380480
- Sum of all divisors σ(n): 2023676928
- Sum of proper divisors (its aliquot sum) s(n): 1551296448
- 472380480 is an abundant number, because the sum of its proper divisors (1551296448) is greater than itself. Its abundance is 1078915968
Bases of 472380480
- Binary: 111000010011111110100010000002
- Hexadecimal: 0x1C27F440
- Base-36: 7T8R40
Squares and roots of 472380480
- 472380480 squared (4723804802) is 223143317885030400
- 472380480 cubed (4723804803) is 105408547611323245166592000
-
The
square root of 472380480 is 21734.3157242181 -
The
cube root of 472380480 is 778.8084370523
Scales and comparisons
How big is 472380480?- 472,380,480 seconds is equal to 15 years, 1 week, 8 hours, 48 minutes.
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To count from 1 to 472,380,480 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 472380480 cubic inches would be around 64.9 feet tall.
Recreational maths with 472380480
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