428299200
428,299,200 is an even composite number composed of five prime numbers multiplied together.
428299200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 428299200:
26 × 32 × 52 × 72 × 607
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 607)See below for interesting mathematical facts about the number 428299200 from the Numbermatics database.
Names of 428299200
- Cardinal: 428299200 can be written as Four hundred twenty-eight million, two hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.282992 × 108
Factors of 428299200
Divisors of 428299200
- Number of divisors d(n): 378
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 280 288 294 300 315 320 336 350 360 392 400 420 441 448 450 480 490 504 525 560 576 588 600 607 630 672 700 720 735 784 800 840 882 900 960 980 1008 1050 1120 1176 1200 1214 1225 1260 1344 1400 1440 1470 1568 1575 1600 1680 1764 1800 1821 1960 2016 2100 2205 2240 2352 2400 2428 2450 2520 2800 2880 2940 3035 3136 3150 3360 3528 3600 3642 3675 3920 4032 4200 4249 4410 4704 4800 4856 4900 5040 5463 5600 5880 6070 6300 6720 7056 7200 7284 7350 7840 8400 8498 8820 9105 9408 9712 9800 10080 10926 11025 11200 11760 12140 12600 12747 14112 14400 14568 14700 15175 15680 16800 16996 17640 18210 19424 19600 20160 21245 21852 22050 23520 24280 25200 25494 27315 28224 29136 29400 29743 30350 33600 33992 35280 36420 38241 38848 39200 42490 43704 44100 45525 47040 48560 50400 50988 54630 58272 58800 59486 60700 63735 67984 70560 72840 76482 78400 84980 87408 88200 89229 91050 97120 100800 101976 106225 109260 116544 117600 118972 121400 127470 135968 136575 141120 145680 148715 152964 169960 174816 176400 178458 182100 191205 194240 203952 212450 218520 235200 237944 242800 254940 267687 271936 273150 291360 297430 305928 318675 339920 349632 352800 356916 364200 382410 407904 424900 437040 446145 475888 485600 509880 535374 546300 582720 594860 611856 637350 679840 705600 713832 728400 743575 764820 815808 849800 874080 892290 951776 956025 971200 1019760 1070748 1092600 1189720 1223712 1274700 1338435 1359680 1427664 1456800 1487150 1529640 1699600 1748160 1784580 1903552 1912050 2039520 2141496 2185200 2230725 2379440 2447424 2549400 2676870 2855328 2913600 2974300 3059280 3399200 3569160 3824100 4079040 4282992 4370400 4461450 4758880 5098800 5353740 5710656 5948600 6118560 6692175 6798400 7138320 7648200 8565984 8740800 8922900 9517760 10197600 10707480 11897200 12237120 13384350 14276640 15296400 17131968 17845800 20395200 21414960 23794400 26768700 28553280 30592800 35691600 42829920 47588800 53537400 61185600 71383200 85659840 107074800 142766400 214149600 428299200
- Sum of all divisors σ(n): 1773728736
- Sum of proper divisors (its aliquot sum) s(n): 1345429536
- 428299200 is an abundant number, because the sum of its proper divisors (1345429536) is greater than itself. Its abundance is 917130336
Bases of 428299200
- Binary: 110011000011101010011110000002
- Hexadecimal: 0x198753C0
- Base-36: 72ZXS0
Squares and roots of 428299200
- 428299200 squared (4282992002) is 183440204720640000
- 428299200 cubed (4282992003) is 78567292929686335488000000
-
The
square root of 428299200 is 20695.3907911883 -
The
cube root of 428299200 is 753.7877715121
Scales and comparisons
How big is 428299200?- 428,299,200 seconds is equal to 13 years, 32 weeks, 1 day, 4 hours.
-
To count from 1 to 428,299,200 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 428299200 cubic inches would be around 62.8 feet tall.
Recreational maths with 428299200
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