428612800
428,612,800 is an even composite number composed of five prime numbers multiplied together.
428612800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 428612800:
26 × 52 × 73 × 11 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 71)See below for interesting mathematical facts about the number 428612800 from the Numbermatics database.
Names of 428612800
- Cardinal: 428612800 can be written as Four hundred twenty-eight million, six hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 4.286128 × 108
Factors of 428612800
Divisors of 428612800
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 71 77 80 88 98 100 110 112 140 142 154 160 175 176 196 200 220 224 245 275 280 284 308 320 343 350 352 355 385 392 400 440 448 490 497 539 550 560 568 616 686 700 704 710 770 781 784 800 880 980 994 1078 1100 1120 1136 1225 1232 1372 1400 1420 1540 1562 1568 1600 1715 1760 1775 1925 1960 1988 2156 2200 2240 2272 2450 2464 2485 2695 2744 2800 2840 3080 3124 3136 3430 3479 3520 3550 3773 3850 3905 3920 3976 4312 4400 4544 4900 4928 4970 5390 5467 5488 5600 5680 6160 6248 6860 6958 7100 7546 7700 7810 7840 7952 8575 8624 8800 9800 9940 10780 10934 10976 11200 11360 12320 12425 12496 13475 13720 13916 14200 15092 15400 15620 15680 15904 17150 17248 17395 17600 18865 19525 19600 19880 21560 21868 21952 22720 24353 24640 24850 24992 26950 27335 27440 27832 28400 30184 30800 31240 31808 34300 34496 34790 37730 38269 39050 39200 39760 43120 43736 48706 49700 49984 53900 54670 54880 55664 56800 60368 61600 62480 68600 69580 75460 76538 78100 78400 79520 86240 86975 87472 94325 97412 99400 107800 109340 109760 111328 113600 120736 121765 123200 124960 136675 137200 139160 150920 153076 156200 159040 172480 173950 174944 188650 191345 194824 198800 215600 218680 222656 241472 243530 249920 267883 273350 274400 278320 301840 306152 312400 347900 349888 377300 382690 389648 397600 431200 437360 487060 535766 546700 548800 556640 603680 608825 612304 624800 695800 754600 765380 779296 795200 862400 874720 956725 974120 1071532 1093400 1113280 1207360 1217650 1224608 1249600 1339415 1391600 1509200 1530760 1558592 1749440 1913450 1948240 2143064 2186800 2435300 2449216 2678830 2783200 3018400 3061520 3826900 3896480 4286128 4373600 4870600 5357660 5566400 6036800 6123040 6697075 7653800 7792960 8572256 8747200 9741200 10715320 12246080 13394150 15307600 17144512 19482400 21430640 26788300 30615200 38964800 42861280 53576600 61230400 85722560 107153200 214306400 428612800
- Sum of all divisors σ(n): 1360627200
- Sum of proper divisors (its aliquot sum) s(n): 932014400
- 428612800 is an abundant number, because the sum of its proper divisors (932014400) is greater than itself. Its abundance is 503401600
Bases of 428612800
- Binary: 110011000110000011100110000002
- Hexadecimal: 0x198C1CC0
- Base-36: 736NR4
Squares and roots of 428612800
- 428612800 squared (4286128002) is 183708932323840000
- 428612800 cubed (4286128003) is 78739999868331569152000000
-
The
square root of 428612800 is 20702.9659710873 -
The
cube root of 428612800 is 753.9717007017
Scales and comparisons
How big is 428612800?- 428,612,800 seconds is equal to 13 years, 32 weeks, 4 days, 19 hours, 6 minutes, 40 seconds.
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To count from 1 to 428,612,800 would take you about twenty 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 428612800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428612800
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