828164480
828,164,480 is an even composite number composed of five prime numbers multiplied together.
828164480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 828164480:
27 × 5 × 11 × 13 × 9049
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 9049)See below for interesting mathematical facts about the number 828164480 from the Numbermatics database.
Names of 828164480
- Cardinal: 828164480 can be written as Eight hundred twenty-eight million, one hundred sixty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 8.2816448 × 108
Factors of 828164480
Divisors of 828164480
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9049 9152 11440 18098 18304 22880 36196 45245 45760 72392 90490 91520 99539 117637 144784 180980 199078 235274 289568 361960 398156 470548 497695 579136 588185 723920 796312 941096 995390 1158272 1176370 1294007 1447840 1592624 1882192 1990780 2352740 2588014 2895680 3185248 3764384 3981560 4705480 5176028 5791360 6370496 6470035 7528768 7963120 9410960 10352056 12740992 12940070 15057536 15926240 18821920 20704112 25880140 31852480 37643840 41408224 51760280 63704960 75287680 82816448 103520560 165632896 207041120 414082240 828164480
- Sum of all divisors σ(n): 2326212000
- Sum of proper divisors (its aliquot sum) s(n): 1498047520
- 828164480 is an abundant number, because the sum of its proper divisors (1498047520) is greater than itself. Its abundance is 669883040
Bases of 828164480
- Binary: 1100010101110011001001100000002
- Hexadecimal: 0x315CC980
- Base-36: DP2FSW
Squares and roots of 828164480
- 828164480 squared (8281644802) is 685856405933670400
- 828164480 cubed (8281644803) is 568001913774727061307392000
-
The
square root of 828164480 is 28777.8470355237 -
The
cube root of 828164480 is 939.0863614035
Scales and comparisons
How big is 828164480?- 828,164,480 seconds is equal to 26 years, 17 weeks, 2 days, 5 hours, 41 minutes, 20 seconds.
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To count from 1 to 828,164,480 would take you about thirty-nine 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 828164480 cubic inches would be around 78.3 feet tall.
Recreational maths with 828164480
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