828960768
828,960,768 is an even composite number composed of four prime numbers multiplied together.
828960768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred fifty-six divisors.
Prime factorization of 828960768:
212 × 32 × 113 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 113 × 199)See below for interesting mathematical facts about the number 828960768 from the Numbermatics database.
Names of 828960768
- Cardinal: 828960768 can be written as Eight hundred twenty-eight million, nine hundred sixty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 8.28960768 × 108
Factors of 828960768
Divisors of 828960768
- Number of divisors d(n): 156
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 199 226 256 288 339 384 398 452 512 576 597 678 768 796 904 1017 1024 1152 1194 1356 1536 1592 1791 1808 2034 2048 2304 2388 2712 3072 3184 3582 3616 4068 4096 4608 4776 5424 6144 6368 7164 7232 8136 9216 9552 10848 12288 12736 14328 14464 16272 18432 19104 21696 22487 25472 28656 28928 32544 36864 38208 43392 44974 50944 57312 57856 65088 67461 76416 86784 89948 101888 114624 115712 130176 134922 152832 173568 179896 202383 203776 229248 231424 260352 269844 305664 347136 359792 404766 407552 458496 462848 520704 539688 611328 694272 719584 809532 815104 916992 1041408 1079376 1222656 1388544 1439168 1619064 1833984 2082816 2158752 2445312 2878336 3238128 3667968 4165632 4317504 5756672 6476256 7335936 8635008 11513344 12952512 17270016 23026688 25905024 34540032 46053376 51810048 69080064 92106752 103620096 138160128 207240192 276320256 414480384 828960768
- Sum of all divisors σ(n): 2427812400
- Sum of proper divisors (its aliquot sum) s(n): 1598851632
- 828960768 is an abundant number, because the sum of its proper divisors (1598851632) is greater than itself. Its abundance is 769890864
Bases of 828960768
- Binary: 1100010110100011110000000000002
- Hexadecimal: 0x3168F000
- Base-36: DPJI80
Squares and roots of 828960768
- 828960768 squared (8289607682) is 687175954883149824
- 828960768 cubed (8289607683) is 569641907311069228362104832
-
The
square root of 828960768 is 28791.6787978749 -
The
cube root of 828960768 is 939.3872451369
Scales and comparisons
How big is 828960768?- 828,960,768 seconds is equal to 26 years, 18 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
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To count from 1 to 828,960,768 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 828960768 cubic inches would be around 78.3 feet tall.
Recreational maths with 828960768
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