428898400
428,898,400 is an even composite number composed of six prime numbers multiplied together.
428898400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428898400:
25 × 52 × 7 × 19 × 29 × 139
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 29 × 139)See below for interesting mathematical facts about the number 428898400 from the Numbermatics database.
Names of 428898400
- Cardinal: 428898400 can be written as Four hundred twenty-eight million, eight hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.288984 × 108
Factors of 428898400
Divisors of 428898400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 29 32 35 38 40 50 56 58 70 76 80 95 100 112 116 133 139 140 145 152 160 175 190 200 203 224 232 266 278 280 290 304 350 380 400 406 464 475 532 551 556 560 580 608 665 695 700 725 760 800 812 928 950 973 1015 1064 1102 1112 1120 1160 1330 1390 1400 1450 1520 1624 1900 1946 2030 2128 2204 2224 2320 2641 2660 2755 2780 2800 2900 3040 3248 3325 3475 3800 3857 3892 4031 4060 4256 4408 4448 4640 4865 5075 5282 5320 5510 5560 5600 5800 6496 6650 6950 7600 7714 7784 8062 8120 8816 9730 10150 10564 10640 11020 11120 11600 13205 13300 13775 13900 15200 15428 15568 16124 16240 17632 18487 19285 19460 20155 20300 21128 21280 22040 22240 23200 24325 26410 26600 27550 27800 28217 30856 31136 32248 32480 36974 38570 38920 40310 40600 42256 44080 48650 52820 53200 55100 55600 56434 61712 64496 66025 73948 76589 77140 77840 80620 81200 84512 88160 92435 96425 97300 100775 105640 106400 110200 111200 112868 123424 128992 132050 141085 147896 153178 154280 155680 161240 162400 184870 192850 194600 201550 211280 220400 225736 264100 282170 295792 306356 308560 322480 369740 382945 385700 389200 403100 422560 440800 451472 462175 528200 536123 564340 591584 612712 617120 644960 705425 739480 765890 771400 778400 806200 902944 924350 1056400 1072246 1128680 1225424 1410850 1478960 1531780 1542800 1612400 1848700 1914725 2112800 2144492 2257360 2450848 2680615 2821700 2957920 3063560 3085600 3224800 3697400 3829450 4288984 4514720 5361230 5643400 6127120 7394800 7658900 8577968 10722460 11286800 12254240 13403075 14789600 15317800 17155936 21444920 22573600 26806150 30635600 42889840 53612300 61271200 85779680 107224600 214449200 428898400
- Sum of all divisors σ(n): 1312416000
- Sum of proper divisors (its aliquot sum) s(n): 883517600
- 428898400 is an abundant number, because the sum of its proper divisors (883517600) is greater than itself. Its abundance is 454619200
Bases of 428898400
- Binary: 110011001000001111000011000002
- Hexadecimal: 0x19907860
- Base-36: 73CS4G
Squares and roots of 428898400
- 428898400 squared (4288984002) is 183953837522560000
- 428898400 cubed (4288984003) is 78897506587285947904000000
-
The
square root of 428898400 is 20709.8623848639 -
The
cube root of 428898400 is 754.1391296003
Scales and comparisons
How big is 428898400?- 428,898,400 seconds is equal to 13 years, 33 weeks, 1 day, 2 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,898,400 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 428898400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428898400
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