428416800
428,416,800 is an even composite number composed of five prime numbers multiplied together.
428416800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 428416800:
25 × 3 × 52 × 72 × 3643
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 3643)See below for interesting mathematical facts about the number 428416800 from the Numbermatics database.
Names of 428416800
- Cardinal: 428416800 can be written as Four hundred twenty-eight million, four hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 4.284168 × 108
Factors of 428416800
Divisors of 428416800
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 70 75 80 84 96 98 100 105 112 120 140 147 150 160 168 175 196 200 210 224 240 245 280 294 300 336 350 392 400 420 480 490 525 560 588 600 672 700 735 784 800 840 980 1050 1120 1176 1200 1225 1400 1470 1568 1680 1960 2100 2352 2400 2450 2800 2940 3360 3643 3675 3920 4200 4704 4900 5600 5880 7286 7350 7840 8400 9800 10929 11760 14572 14700 16800 18215 19600 21858 23520 25501 29144 29400 36430 39200 43716 51002 54645 58288 58800 72860 76503 87432 91075 102004 109290 116576 117600 127505 145720 153006 174864 178507 182150 204008 218580 255010 273225 291440 306012 349728 357014 364300 382515 408016 437160 510020 535521 546450 582880 612024 637525 714028 728600 765030 816032 874320 892535 1020040 1071042 1092900 1224048 1275050 1428056 1457200 1530060 1748640 1785070 1912575 2040080 2142084 2185800 2448096 2550100 2677605 2856112 2914400 3060120 3570140 3825150 4080160 4284168 4371600 4462675 5100200 5355210 5712224 6120240 7140280 7650300 8568336 8743200 8925350 10200400 10710420 12240480 13388025 14280560 15300600 17136672 17850700 20400800 21420840 26776050 28561120 30601200 35701400 42841680 53552100 61202400 71402800 85683360 107104200 142805600 214208400 428416800
- Sum of all divisors σ(n): 1622614896
- Sum of proper divisors (its aliquot sum) s(n): 1194198096
- 428416800 is an abundant number, because the sum of its proper divisors (1194198096) is greater than itself. Its abundance is 765781296
Bases of 428416800
- Binary: 110011000100100011111001000002
- Hexadecimal: 0x19891F20
- Base-36: 732GIO
Squares and roots of 428416800
- 428416800 squared (4284168002) is 183540954522240000
- 428416800 cubed (4284168003) is 78632028405363589632000000
-
The
square root of 428416800 is 20698.2318085387 -
The
cube root of 428416800 is 753.8567554763
Scales and comparisons
How big is 428416800?- 428,416,800 seconds is equal to 13 years, 32 weeks, 2 days, 12 hours, 40 minutes.
-
To count from 1 to 428,416,800 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 428416800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428416800
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The information we have on file for 428416800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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