428990400
428,990,400 is an even composite number composed of four prime numbers multiplied together.
428990400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 428990400:
26 × 32 × 52 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 31 × 31)See below for interesting mathematical facts about the number 428990400 from the Numbermatics database.
Names of 428990400
- Cardinal: 428990400 can be written as Four hundred twenty-eight million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 4.289904 × 108
Factors of 428990400
Divisors of 428990400
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 144 150 155 160 180 186 192 200 225 240 248 279 288 300 310 320 360 372 400 450 465 480 496 558 576 600 620 720 744 775 800 900 930 960 961 992 1116 1200 1240 1395 1440 1488 1550 1600 1800 1860 1922 1984 2232 2325 2400 2480 2790 2880 2883 2976 3100 3600 3720 3844 4464 4650 4800 4805 4960 5580 5766 5952 6200 6975 7200 7440 7688 8649 8928 9300 9610 9920 11160 11532 12400 13950 14400 14415 14880 15376 17298 17856 18600 19220 22320 23064 24025 24800 27900 28830 29760 29791 30752 34596 37200 38440 43245 44640 46128 48050 49600 55800 57660 59582 61504 69192 72075 74400 76880 86490 89280 89373 92256 96100 111600 115320 119164 138384 144150 148800 148955 153760 172980 178746 184512 192200 216225 223200 230640 238328 268119 276768 288300 297910 307520 345960 357492 384400 432450 446400 446865 461280 476656 536238 553536 576600 595820 691920 714984 744775 768800 864900 893730 922560 953312 1072476 1153200 1191640 1340595 1383840 1429968 1489550 1537600 1729800 1787460 1906624 2144952 2234325 2306400 2383280 2681190 2767680 2859936 2979100 3459600 3574920 4289904 4468650 4612800 4766560 5362380 5719872 5958200 6702975 6919200 7149840 8579808 8937300 9533120 10724760 11916400 13405950 13838400 14299680 17159616 17874600 21449520 23832800 26811900 28599360 35749200 42899040 47665600 53623800 71498400 85798080 107247600 142996800 214495200 428990400
- Sum of all divisors σ(n): 1575555904
- Sum of proper divisors (its aliquot sum) s(n): 1146565504
- 428990400 is an abundant number, because the sum of its proper divisors (1146565504) is greater than itself. Its abundance is 717575104
Bases of 428990400
- Binary: 110011001000111011111110000002
- Hexadecimal: 0x1991DFC0
- Base-36: 73ER40
Squares and roots of 428990400
- 428990400 squared (4289904002) is 184032763292160000
- 428990400 cubed (4289904003) is 78948288737809035264000000
-
The
square root of 428990400 is 20712.0834297277 -
The
cube root of 428990400 is 754.1930474511
Scales and comparisons
How big is 428990400?- 428,990,400 seconds is equal to 13 years, 33 weeks, 2 days, 4 hours.
-
To count from 1 to 428,990,400 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 428990400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428990400
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