428076828
428,076,828 is an even composite number composed of six prime numbers multiplied together.
What does the number 428076828 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 144 divisors.
428076828 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428076828:
22 × 32 × 23 × 37 × 89 × 157
(2 × 2 × 3 × 3 × 23 × 37 × 89 × 157)See below for interesting mathematical facts about the number 428076828 from the Numbermatics database.
Names of 428076828
- Cardinal: 428076828 can be written as Four hundred twenty-eight million, seventy-six thousand, eight hundred twenty-eight.
Scientific notation
- Scientific notation: 4.28076828 × 108
Factors of 428076828
Divisors of 428076828
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 18 23 36 37 46 69 74 89 92 111 138 148 157 178 207 222 267 276 314 333 356 414 444 471 534 628 666 801 828 851 942 1068 1332 1413 1602 1702 1884 2047 2553 2826 3204 3293 3404 3611 4094 5106 5652 5809 6141 6586 7222 7659 8188 9879 10212 10833 11618 12282 13172 13973 14444 15318 17427 18423 19758 21666 23236 24564 27946 29637 30636 32499 34854 36846 39516 41919 43332 52281 55892 59274 64998 69708 73692 75739 83838 104562 118548 125757 129996 133607 151478 167676 209124 227217 251514 267214 302956 321379 400821 454434 503028 517001 534428 642758 681651 801642 908868 964137 1034002 1202463 1285516 1363302 1551003 1603284 1928274 2068004 2404926 2726604 2892411 3102006 3856548 4653009 4809852 5784822 6204012 9306018 11569644 11891023 18612036 23782046 35673069 47564092 71346138 107019207 142692276 214038414 428076828
- Sum of all divisors σ(n): 1180146240
- Sum of proper divisors (its aliquot sum) s(n): 752069412
- 428076828 is an abundant number, because the sum of its proper divisors (752069412) is greater than itself. Its abundance is 323992584
Bases of 428076828
- Binary: 110011000001111101111000111002
- Hexadecimal: 0x1983EF1C
- Base-36: 72V670
Squares and roots of 428076828
- 428076828 squared (4280768282) is 183249770670541584
- 428076828 cubed (4280768283) is 78444980560372874320815552
-
The
square root of 428076828 is 20690.0175930327 -
The
cube root of 428076828 is 753.6572939453
Scales and comparisons
How big is 428076828?- 428,076,828 seconds is equal to 13 years, 31 weeks, 5 days, 14 hours, 13 minutes, 48 seconds.
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To count from 1 to 428,076,828 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 428076828 cubic inches would be around 62.8 feet tall.
Recreational maths with 428076828
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