48399120
48,399,120 is an even composite number composed of six prime numbers multiplied together.
48399120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 48399120:
24 × 34 × 5 × 7 × 11 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 97)See below for interesting mathematical facts about the number 48399120 from the Numbermatics database.
Names of 48399120
- Cardinal: 48399120 can be written as Forty-eight million, three hundred ninety-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.839912 × 107
Factors of 48399120
Divisors of 48399120
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 81 84 88 90 97 99 105 108 110 112 120 126 132 135 140 144 154 162 165 168 176 180 189 194 198 210 216 220 231 240 252 264 270 280 291 297 308 315 324 330 336 360 378 385 388 396 405 420 432 440 462 485 495 504 528 540 560 567 582 594 616 630 648 660 679 693 720 756 770 776 792 810 840 873 880 891 924 945 970 990 1008 1067 1080 1134 1155 1164 1188 1232 1260 1296 1320 1358 1386 1455 1485 1512 1540 1552 1584 1620 1680 1746 1782 1848 1890 1940 1980 2037 2079 2134 2160 2268 2310 2328 2376 2520 2619 2640 2716 2772 2835 2910 2970 3024 3080 3201 3240 3395 3465 3492 3564 3696 3780 3880 3960 4074 4158 4268 4365 4455 4536 4620 4656 4752 5040 5238 5335 5432 5544 5670 5820 5940 6111 6160 6237 6402 6480 6790 6930 6984 7128 7469 7560 7760 7857 7920 8148 8316 8536 8730 8910 9072 9240 9603 10185 10395 10476 10670 10864 11088 11340 11640 11880 12222 12474 12804 13095 13580 13860 13968 14256 14938 15120 15714 16005 16296 16632 17072 17460 17820 18333 18480 19206 20370 20790 20952 21340 22407 22680 23280 23760 24444 24948 25608 26190 27160 27720 28809 29876 30555 31185 31428 32010 32592 33264 34920 35640 36666 37345 38412 39285 40740 41580 41904 42680 44814 45360 48015 48888 49896 51216 52380 54320 54999 55440 57618 59752 61110 62370 62856 64020 67221 69840 71280 73332 74690 76824 78570 81480 83160 85360 86427 89628 91665 96030 97776 99792 104760 109998 112035 115236 119504 122220 124740 125712 128040 134442 144045 146664 149380 153648 157140 162960 166320 172854 179256 183330 192060 201663 209520 219996 224070 230472 244440 249480 256080 268884 274995 288090 293328 298760 314280 336105 345708 358512 366660 384120 403326 432135 439992 448140 460944 488880 498960 537768 549990 576180 597520 604989 628560 672210 691416 733320 768240 806652 864270 879984 896280 1008315 1075536 1099980 1152360 1209978 1344420 1382832 1466640 1613304 1728540 1792560 2016630 2199960 2304720 2419956 2688840 3024945 3226608 3457080 4033260 4399920 4839912 5377680 6049890 6914160 8066520 9679824 12099780 16133040 24199560 48399120
- Sum of all divisors σ(n): 211736448
- Sum of proper divisors (its aliquot sum) s(n): 163337328
- 48399120 is an abundant number, because the sum of its proper divisors (163337328) is greater than itself. Its abundance is 114938208
Bases of 48399120
- Binary: 101110001010000011000100002
- Hexadecimal: 0x2E28310
- Base-36: STD00
Squares and roots of 48399120
- 48399120 squared (483991202) is 2342474816774400
- 48399120 cubed (483991203) is 113373719754042198528000
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The
square root of 48399120 is 6956.9476065297 -
The
cube root of 48399120 is 364.4286300341
Scales and comparisons
How big is 48399120?- 48,399,120 seconds is equal to 1 year, 28 weeks, 4 hours, 12 minutes.
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To count from 1 to 48,399,120 would take you about 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 48399120 cubic inches would be around 30.4 feet tall.
Recreational maths with 48399120
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