48438000
48,438,000 is an even composite number composed of five prime numbers multiplied together.
48438000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 48438000:
24 × 34 × 53 × 13 × 23
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 23)See below for interesting mathematical facts about the number 48438000 from the Numbermatics database.
Names of 48438000
- Cardinal: 48438000 can be written as Forty-eight million, four hundred thirty-eight thousand.
Scientific notation
- Scientific notation: 4.8438 × 107
Factors of 48438000
Divisors of 48438000
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 27 30 36 39 40 45 46 48 50 52 54 60 65 69 72 75 78 80 81 90 92 100 104 108 115 117 120 125 130 135 138 144 150 156 162 180 184 195 200 207 208 216 225 230 234 240 250 260 270 276 299 300 312 324 325 345 351 360 368 375 390 400 405 414 432 450 460 468 500 520 540 552 575 585 598 600 621 624 648 650 675 690 702 720 750 780 810 828 897 900 920 936 975 1000 1035 1040 1053 1080 1104 1125 1150 1170 1196 1200 1242 1296 1300 1350 1380 1404 1495 1500 1560 1620 1625 1656 1725 1755 1794 1800 1840 1863 1872 1950 2000 2025 2070 2106 2160 2250 2300 2340 2392 2484 2600 2691 2700 2760 2808 2875 2925 2990 3000 3105 3120 3240 3250 3312 3375 3450 3510 3588 3600 3726 3900 4050 4140 4212 4485 4500 4600 4680 4784 4875 4968 5175 5200 5265 5382 5400 5520 5616 5750 5850 5980 6000 6210 6480 6500 6750 6900 7020 7176 7452 7475 7800 8073 8100 8280 8424 8625 8775 8970 9000 9200 9315 9360 9750 9936 10125 10350 10530 10764 10800 11500 11700 11960 12420 13000 13455 13500 13800 14040 14352 14625 14904 14950 15525 15600 16146 16200 16560 16848 17250 17550 17940 18000 18630 19500 20250 20700 21060 21528 22425 23000 23400 23920 24219 24840 25875 26000 26325 26910 27000 27600 28080 29250 29808 29900 31050 32292 32400 34500 35100 35880 37260 37375 39000 40365 40500 41400 42120 43056 43875 44850 46000 46575 46800 48438 49680 51750 52650 53820 54000 58500 59800 62100 64584 67275 69000 70200 71760 74520 74750 77625 78000 80730 81000 82800 84240 87750 89700 93150 96876 103500 105300 107640 112125 117000 119600 121095 124200 129168 131625 134550 138000 140400 149040 149500 155250 161460 162000 175500 179400 186300 193752 201825 207000 210600 215280 224250 232875 234000 242190 248400 263250 269100 299000 310500 322920 336375 351000 358800 372600 387504 403650 414000 421200 448500 465750 484380 526500 538200 598000 605475 621000 645840 672750 702000 745200 807300 897000 931500 968760 1009125 1053000 1076400 1210950 1242000 1345500 1614600 1794000 1863000 1937520 2018250 2106000 2421900 2691000 3027375 3229200 3726000 4036500 4843800 5382000 6054750 8073000 9687600 12109500 16146000 24219000 48438000
- Sum of all divisors σ(n): 196612416
- Sum of proper divisors (its aliquot sum) s(n): 148174416
- 48438000 is an abundant number, because the sum of its proper divisors (148174416) is greater than itself. Its abundance is 99736416
Bases of 48438000
- Binary: 101110001100011010111100002
- Hexadecimal: 0x2E31AF0
- Base-36: SU700
Squares and roots of 48438000
- 48438000 squared (484380002) is 2346239844000000
- 48438000 cubed (484380003) is 113647165563672000000000
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The
square root of 48438000 is 6959.7413745053 -
The
cube root of 48438000 is 364.5261882317
Scales and comparisons
How big is 48438000?- 48,438,000 seconds is equal to 1 year, 28 weeks, 15 hours.
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To count from 1 to 48,438,000 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 48438000 cubic inches would be around 30.4 feet tall.
Recreational maths with 48438000
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