428985200
428,985,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 428985200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 180 divisors.
428985200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 428985200:
24 × 52 × 72 × 43 × 509
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 43 × 509)See below for interesting mathematical facts about the number 428985200 from the Numbermatics database.
Names of 428985200
- Cardinal: 428985200 can be written as Four hundred twenty-eight million, nine hundred eighty-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.289852 × 108
Factors of 428985200
Divisors of 428985200
- Number of divisors d(n): 180
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 49 50 56 70 80 86 98 100 112 140 172 175 196 200 215 245 280 301 344 350 392 400 430 490 509 560 602 688 700 784 860 980 1018 1075 1204 1225 1400 1505 1720 1960 2036 2107 2150 2408 2450 2545 2800 3010 3440 3563 3920 4072 4214 4300 4816 4900 5090 6020 7126 7525 8144 8428 8600 9800 10180 10535 12040 12725 14252 15050 16856 17200 17815 19600 20360 21070 21887 24080 24941 25450 28504 30100 33712 35630 40720 42140 43774 49882 50900 52675 57008 60200 71260 84280 87548 89075 99764 101800 105350 109435 120400 124705 142520 153209 168560 175096 178150 199528 203600 210700 218870 249410 285040 306418 350192 356300 399056 421400 437740 498820 547175 612836 623525 712600 766045 842800 875480 997640 1072463 1094350 1225672 1247050 1425200 1532090 1750960 1995280 2144926 2188700 2451344 2494100 3064180 3830225 4289852 4377400 4988200 5362315 6128360 7660450 8579704 8754800 9976400 10724630 12256720 15320900 17159408 21449260 26811575 30641800 42898520 53623150 61283600 85797040 107246300 214492600 428985200
- Sum of all divisors σ(n): 1229195880
- Sum of proper divisors (its aliquot sum) s(n): 800210680
- 428985200 is an abundant number, because the sum of its proper divisors (800210680) is greater than itself. Its abundance is 371225480
Bases of 428985200
- Binary: 110011001000111001011011100002
- Hexadecimal: 0x1991CB70
- Base-36: 73EN3K
Squares and roots of 428985200
- 428985200 squared (4289852002) is 184028301819040000
- 428985200 cubed (4289852003) is 78945417861501238208000000
-
The
square root of 428985200 is 20711.9578987599 -
The
cube root of 428985200 is 754.1900001259
Scales and comparisons
How big is 428985200?- 428,985,200 seconds is equal to 13 years, 33 weeks, 2 days, 2 hours, 33 minutes, 20 seconds.
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To count from 1 to 428,985,200 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 428985200 cubic inches would be around 62.8 feet tall.
Recreational maths with 428985200
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