38228960
38,228,960 is an even composite number composed of six prime numbers multiplied together.
38228960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 38228960:
25 × 5 × 7 × 11 × 29 × 107
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 29 × 107)See below for interesting mathematical facts about the number 38228960 from the Numbermatics database.
Names of 38228960
- Cardinal: 38228960 can be written as Thirty-eight million, two hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.822896 × 107
Factors of 38228960
Divisors of 38228960
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 29 32 35 40 44 55 56 58 70 77 80 88 107 110 112 116 140 145 154 160 176 203 214 220 224 232 280 290 308 319 352 385 406 428 440 464 535 560 580 616 638 749 770 812 856 880 928 1015 1070 1120 1160 1177 1232 1276 1498 1540 1595 1624 1712 1760 2030 2140 2233 2320 2354 2464 2552 2996 3080 3103 3190 3248 3424 3745 4060 4280 4466 4640 4708 5104 5885 5992 6160 6206 6380 6496 7490 8120 8239 8560 8932 9416 10208 11165 11770 11984 12320 12412 12760 14980 15515 16240 16478 17120 17864 18832 21721 22330 23540 23968 24824 25520 29960 31030 32480 32956 34133 35728 37664 41195 43442 44660 47080 49648 51040 59920 62060 65912 68266 71456 82390 86884 89320 94160 99296 108605 119840 124120 131824 136532 164780 170665 173768 178640 188320 217210 238931 248240 263648 273064 329560 341330 347536 357280 434420 477862 496480 546128 659120 682660 695072 868840 955724 1092256 1194655 1318240 1365320 1737680 1911448 2389310 2730640 3475360 3822896 4778620 5461280 7645792 9557240 19114480 38228960
- Sum of all divisors σ(n): 117573120
- Sum of proper divisors (its aliquot sum) s(n): 79344160
- 38228960 is an abundant number, because the sum of its proper divisors (79344160) is greater than itself. Its abundance is 41115200
Bases of 38228960
- Binary: 100100011101010011111000002
- Hexadecimal: 0x24753E0
- Base-36: MRDNK
Squares and roots of 38228960
- 38228960 squared (382289602) is 1461453382681600
- 38228960 cubed (382289603) is 55869842908399579136000
-
The
square root of 38228960 is 6182.9572212655 -
The
cube root of 38228960 is 336.8714152813
Scales and comparisons
How big is 38228960?- 38,228,960 seconds is equal to 1 year, 11 weeks, 1 day, 11 hours, 9 minutes, 20 seconds.
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To count from 1 to 38,228,960 would take you about forty-two weeks!
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 38228960 cubic inches would be around 28.1 feet tall.
Recreational maths with 38228960
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