385475200
385,475,200 is an even composite number composed of five prime numbers multiplied together.
385475200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 385475200:
27 × 52 × 11 × 47 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 47 × 233)See below for interesting mathematical facts about the number 385475200 from the Numbermatics database.
Names of 385475200
- Cardinal: 385475200 can be written as Three hundred eighty-five million, four hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 3.854752 × 108
Factors of 385475200
Divisors of 385475200
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 47 50 55 64 80 88 94 100 110 128 160 176 188 200 220 233 235 275 320 352 376 400 440 466 470 517 550 640 704 752 800 880 932 940 1034 1100 1165 1175 1408 1504 1600 1760 1864 1880 2068 2200 2330 2350 2563 2585 3008 3200 3520 3728 3760 4136 4400 4660 4700 5126 5170 5825 6016 7040 7456 7520 8272 8800 9320 9400 10252 10340 10951 11650 12815 12925 14912 15040 16544 17600 18640 18800 20504 20680 21902 23300 25630 25850 29824 30080 33088 35200 37280 37600 41008 41360 43804 46600 51260 51700 54755 64075 66176 74560 75200 82016 82720 87608 93200 102520 103400 109510 120461 128150 149120 150400 164032 165440 175216 186400 205040 206800 219020 240922 256300 273775 328064 330880 350432 372800 410080 413600 438040 481844 512600 547550 602305 700864 745600 820160 827200 876080 963688 1025200 1095100 1204610 1401728 1640320 1654400 1752160 1927376 2050400 2190200 2409220 3011525 3504320 3854752 4100800 4380400 4818440 6023050 7008640 7709504 8201600 8760800 9636880 12046100 15419008 17521600 19273760 24092200 35043200 38547520 48184400 77095040 96368800 192737600 385475200
- Sum of all divisors σ(n): 1065467520
- Sum of proper divisors (its aliquot sum) s(n): 679992320
- 385475200 is an abundant number, because the sum of its proper divisors (679992320) is greater than itself. Its abundance is 294517120
Bases of 385475200
- Binary: 101101111100111100010100000002
- Hexadecimal: 0x16F9E280
- Base-36: 6DI2KG
Squares and roots of 385475200
- 385475200 squared (3854752002) is 148591129815040000
- 385475200 cubed (3854752003) is 57278195483678507008000000
-
The
square root of 385475200 is 19633.5223533629 -
The
cube root of 385475200 is 727.7778173161
Scales and comparisons
How big is 385475200?- 385,475,200 seconds is equal to 12 years, 13 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 385,475,200 would take you about eighteen 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 385475200 cubic inches would be around 60.6 feet tall.
Recreational maths with 385475200
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