428851200
428,851,200 is an even composite number composed of four prime numbers multiplied together.
428851200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 428851200:
214 × 3 × 52 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 349)See below for interesting mathematical facts about the number 428851200 from the Numbermatics database.
Names of 428851200
- Cardinal: 428851200 can be written as Four hundred twenty-eight million, eight hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.288512 × 108
Factors of 428851200
Divisors of 428851200
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 349 384 400 480 512 600 640 698 768 800 960 1024 1047 1200 1280 1396 1536 1600 1745 1920 2048 2094 2400 2560 2792 3072 3200 3490 3840 4096 4188 4800 5120 5235 5584 6144 6400 6980 7680 8192 8376 8725 9600 10240 10470 11168 12288 12800 13960 15360 16384 16752 17450 19200 20480 20940 22336 24576 25600 26175 27920 30720 33504 34900 38400 40960 41880 44672 49152 51200 52350 55840 61440 67008 69800 76800 81920 83760 89344 102400 104700 111680 122880 134016 139600 153600 167520 178688 204800 209400 223360 245760 268032 279200 307200 335040 357376 409600 418800 446720 536064 558400 614400 670080 714752 837600 893440 1072128 1116800 1228800 1340160 1429504 1675200 1786880 2144256 2233600 2680320 2859008 3350400 3573760 4288512 4467200 5360640 5718016 6700800 7147520 8577024 8934400 10721280 13401600 14295040 17154048 17868800 21442560 26803200 28590080 35737600 42885120 53606400 71475200 85770240 107212800 142950400 214425600 428851200
- Sum of all divisors σ(n): 1422087800
- Sum of proper divisors (its aliquot sum) s(n): 993236600
- 428851200 is an abundant number, because the sum of its proper divisors (993236600) is greater than itself. Its abundance is 564385400
Bases of 428851200
- Binary: 110011000111111000000000000002
- Hexadecimal: 0x198FC000
- Base-36: 73BRPC
Squares and roots of 428851200
- 428851200 squared (4288512002) is 183913351741440000
- 428851200 cubed (4288512003) is 78871461590338633728000000
-
The
square root of 428851200 is 20708.7227998251 -
The
cube root of 428851200 is 754.1114644061
Scales and comparisons
How big is 428851200?- 428,851,200 seconds is equal to 13 years, 33 weeks, 13 hours, 20 minutes.
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To count from 1 to 428,851,200 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 428851200 cubic inches would be around 62.8 feet tall.
Recreational maths with 428851200
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