428688000
428,688,000 is an even composite number composed of five prime numbers multiplied together.
428688000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428688000:
27 × 32 × 53 × 13 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 229)See below for interesting mathematical facts about the number 428688000 from the Numbermatics database.
Names of 428688000
- Cardinal: 428688000 can be written as Four hundred twenty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 4.28688 × 108
Factors of 428688000
Divisors of 428688000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 229 234 240 250 260 288 300 312 320 325 360 375 384 390 400 416 450 458 468 480 500 520 576 585 600 624 640 650 687 720 750 780 800 832 900 916 936 960 975 1000 1040 1125 1145 1152 1170 1200 1248 1300 1374 1440 1500 1560 1600 1625 1664 1800 1832 1872 1920 1950 2000 2061 2080 2250 2290 2340 2400 2496 2600 2748 2880 2925 2977 3000 3120 3200 3250 3435 3600 3664 3744 3900 4000 4122 4160 4500 4580 4680 4800 4875 4992 5200 5496 5725 5760 5850 5954 6000 6240 6500 6870 7200 7328 7488 7800 8000 8244 8320 8931 9000 9160 9360 9600 9750 10305 10400 10992 11450 11700 11908 12000 12480 13000 13740 14400 14625 14656 14885 14976 15600 16000 16488 17175 17862 18000 18320 18720 19500 20610 20800 21984 22900 23400 23816 24000 24960 26000 26793 27480 28625 28800 29250 29312 29770 31200 32976 34350 35724 36000 36640 37440 39000 41220 41600 43968 44655 45800 46800 47632 48000 51525 52000 53586 54960 57250 58500 59540 62400 65952 68700 71448 72000 73280 74425 74880 78000 82440 85875 87936 89310 91600 93600 95264 103050 104000 107172 109920 114500 117000 119080 124800 131904 133965 137400 142896 144000 146560 148850 156000 164880 171750 178620 183200 187200 190528 206100 208000 214344 219840 223275 229000 234000 238160 257625 263808 267930 274800 285792 297700 312000 329760 343500 357240 366400 372125 374400 381056 412200 428688 439680 446550 458000 468000 476320 515250 535860 549600 571584 595400 624000 659520 669825 687000 714480 732800 744250 824400 857376 893100 916000 936000 952640 1030500 1071720 1099200 1116375 1143168 1190800 1319040 1339650 1374000 1428960 1488500 1648800 1714752 1786200 1832000 1872000 1905280 2061000 2143440 2198400 2232750 2381600 2679300 2748000 2857920 2977000 3297600 3349125 3429504 3572400 3664000 4122000 4286880 4465500 4763200 5358600 5496000 5715840 5954000 6595200 6698250 7144800 8244000 8573760 8931000 9526400 10717200 10992000 11908000 13396500 14289600 16488000 17147520 17862000 21434400 23816000 26793000 28579200 32976000 35724000 42868800 47632000 53586000 71448000 85737600 107172000 142896000 214344000 428688000
- Sum of all divisors σ(n): 1665190800
- Sum of proper divisors (its aliquot sum) s(n): 1236502800
- 428688000 is an abundant number, because the sum of its proper divisors (1236502800) is greater than itself. Its abundance is 807814800
Bases of 428688000
- Binary: 110011000110101000010100000002
- Hexadecimal: 0x198D4280
- Base-36: 7389S0
Squares and roots of 428688000
- 428688000 squared (4286880002) is 183773401344000000
- 428688000 cubed (4286880003) is 78781451875356672000000000
-
The
square root of 428688000 is 20704.7820563269 -
The
cube root of 428688000 is 754.0157928337
Scales and comparisons
How big is 428688000?- 428,688,000 seconds is equal to 13 years, 32 weeks, 5 days, 16 hours.
-
To count from 1 to 428,688,000 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 428688000 cubic inches would be around 62.8 feet tall.
Recreational maths with 428688000
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