828072000
828,072,000 is an even composite number composed of six prime numbers multiplied together.
828072000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 828072000:
26 × 32 × 53 × 7 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 53)See below for interesting mathematical facts about the number 828072000 from the Numbermatics database.
Names of 828072000
- Cardinal: 828072000 can be written as Eight hundred twenty-eight million, seventy-two thousand.
Scientific notation
- Scientific notation: 8.28072 × 108
Factors of 828072000
Divisors of 828072000
- Number of divisors d(n): 672
-
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 31 32 35 36 40 42 45 48 50 53 56 60 62 63 64 70 72 75 80 84 90 93 96 100 105 106 112 120 124 125 126 140 144 150 155 159 160 168 175 180 186 192 200 210 212 217 224 225 240 248 250 252 265 279 280 288 300 310 315 318 320 336 350 360 371 372 375 400 420 424 434 448 450 465 477 480 496 500 504 525 530 558 560 576 600 620 630 636 651 672 700 720 742 744 750 775 795 800 840 848 868 875 900 930 954 960 992 1000 1008 1050 1060 1085 1113 1116 1120 1125 1200 1240 1260 1272 1302 1325 1344 1395 1400 1440 1484 1488 1500 1550 1575 1590 1600 1643 1680 1696 1736 1750 1800 1855 1860 1908 1953 1984 2000 2016 2100 2120 2170 2226 2232 2240 2250 2325 2385 2400 2480 2520 2544 2604 2625 2650 2790 2800 2880 2968 2976 3000 3100 3150 3180 3255 3286 3339 3360 3392 3472 3500 3600 3710 3720 3816 3875 3906 3975 4000 4032 4200 4240 4340 4452 4464 4500 4650 4770 4800 4929 4960 5040 5088 5208 5250 5300 5425 5565 5580 5600 5936 5952 6000 6200 6300 6360 6510 6572 6625 6678 6720 6944 6975 7000 7200 7420 7440 7632 7750 7812 7875 7950 8000 8215 8400 8480 8680 8904 8928 9000 9275 9300 9540 9765 9858 9920 10080 10176 10416 10500 10600 10850 11130 11160 11200 11501 11625 11872 11925 12000 12400 12600 12720 13020 13144 13250 13356 13888 13950 14000 14400 14787 14840 14880 15264 15500 15624 15750 15900 16275 16430 16695 16800 16960 17360 17808 17856 18000 18550 18600 19080 19530 19716 19875 20160 20832 21000 21200 21700 22260 22320 23002 23250 23744 23850 24000 24645 24800 25200 25440 26040 26288 26500 26712 27125 27825 27900 28000 29574 29680 29760 30528 31000 31248 31500 31800 32550 32860 33390 33600 34503 34720 34875 35616 36000 37100 37200 38160 39060 39432 39750 41075 41664 42000 42400 43400 44520 44640 46004 46375 46500 47700 48825 49290 49600 50400 50880 52080 52576 53000 53424 54250 55650 55800 56000 57505 59148 59360 59625 62000 62496 63000 63600 65100 65720 66780 69006 69440 69750 71232 72000 73935 74200 74400 76320 78120 78864 79500 81375 82150 83475 84000 84800 86800 89040 89280 92008 92750 93000 95400 97650 98580 100800 103509 104160 105152 106000 106848 108500 111300 111600 115010 118296 118720 119250 123225 124000 124992 126000 127200 130200 131440 133560 138012 139125 139500 147870 148400 148800 152640 156240 157728 159000 162750 164300 166950 168000 172515 173600 178080 184016 185500 186000 190800 195300 197160 205375 207018 208320 212000 213696 217000 222600 223200 230020 236592 238500 244125 246450 248000 252000 254400 260400 262880 267120 276024 278250 279000 287525 295740 296800 312480 315456 318000 325500 328600 333900 345030 347200 356160 368032 369675 371000 372000 381600 390600 394320 410750 414036 417375 424000 434000 445200 446400 460040 473184 477000 488250 492900 504000 517545 520800 525760 534240 552048 556500 558000 575050 591480 593600 616125 624960 636000 651000 657200 667800 690060 736064 739350 742000 744000 763200 781200 788640 821500 828072 834750 862575 868000 890400 920080 946368 954000 976500 985800 1035090 1041600 1068480 1104096 1113000 1116000 1150100 1182960 1232250 1272000 1302000 1314400 1335600 1380120 1437625 1478700 1484000 1562400 1577280 1643000 1656144 1669500 1725150 1736000 1780800 1840160 1848375 1908000 1953000 1971600 2070180 2208192 2226000 2232000 2300200 2365920 2464500 2587725 2604000 2628800 2671200 2760240 2875250 2957400 2968000 3124800 3286000 3312288 3339000 3450300 3680320 3696750 3816000 3906000 3943200 4140360 4312875 4452000 4600400 4731840 4929000 5175450 5208000 5342400 5520480 5750500 5914800 6572000 6624576 6678000 6900600 7393500 7812000 7886400 8280720 8625750 8904000 9200800 9858000 10350900 11040960 11501000 11829600 12938625 13144000 13356000 13801200 14787000 15624000 16561440 17251500 18401600 19716000 20701800 23002000 23659200 25877250 26712000 27602400 29574000 33122880 34503000 39432000 41403600 46004000 51754500 55204800 59148000 69006000 82807200 92008000 103509000 118296000 138012000 165614400 207018000 276024000 414036000 828072000
- Sum of all divisors σ(n): 3560454144
- Sum of proper divisors (its aliquot sum) s(n): 2732382144
- 828072000 is an abundant number, because the sum of its proper divisors (2732382144) is greater than itself. Its abundance is 1904310144
Bases of 828072000
- Binary: 1100010101101101100000010000002
- Hexadecimal: 0x315B6040
- Base-36: DP0GG0
Squares and roots of 828072000
- 828072000 squared (8280720002) is 685703237184000000
- 828072000 cubed (8280720003) is 567811651021429248000000000
-
The
square root of 828072000 is 28776.2401991643 -
The
cube root of 828072000 is 939.0514046039
Scales and comparisons
How big is 828072000?- 828,072,000 seconds is equal to 26 years, 17 weeks, 1 day, 4 hours.
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To count from 1 to 828,072,000 would take you about thirty-nine 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 828072000 cubic inches would be around 78.3 feet tall.
Recreational maths with 828072000
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