428938072
428,938,072 is an even composite number composed of six prime numbers multiplied together.
428938072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 428938072:
23 × 19 × 29 × 31 × 43 × 73
(2 × 2 × 2 × 19 × 29 × 31 × 43 × 73)See below for interesting mathematical facts about the number 428938072 from the Numbermatics database.
Names of 428938072
- Cardinal: 428938072 can be written as Four hundred twenty-eight million, nine hundred thirty-eight thousand and seventy-two.
Scientific notation
- Scientific notation: 4.28938072 × 108
Factors of 428938072
Divisors of 428938072
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 8 19 29 31 38 43 58 62 73 76 86 116 124 146 152 172 232 248 292 344 551 584 589 817 899 1102 1178 1247 1333 1387 1634 1798 2117 2204 2263 2356 2494 2666 2774 3139 3268 3596 4234 4408 4526 4712 4988 5332 5548 6278 6536 7192 8468 9052 9976 10664 11096 12556 16936 17081 18104 23693 25112 25327 34162 38657 40223 42997 47386 50654 59641 65627 68324 77314 80446 85994 91031 94772 97309 101308 119282 131254 136648 154628 160892 171988 182062 189544 194618 202616 238564 262508 309256 321784 343976 364124 389236 477128 525016 728248 734483 778472 1246913 1468966 1729589 1848871 2493826 2821961 2937932 3459178 3697742 4987652 5643922 5875864 6918356 7395484 9975304 11287844 13836712 14790968 22575688 53617259 107234518 214469036 428938072
- Sum of all divisors σ(n): 937728000
- Sum of proper divisors (its aliquot sum) s(n): 508789928
- 428938072 is an abundant number, because the sum of its proper divisors (508789928) is greater than itself. Its abundance is 79851856
Bases of 428938072
- Binary: 110011001000100010011010110002
- Hexadecimal: 0x19911358
- Base-36: 73DMQG
Squares and roots of 428938072
- 428938072 squared (4289380722) is 183987869611077184
- 428938072 cubed (4289380723) is 78919402062362837148149248
-
The
square root of 428938072 is 20710.8201672459 -
The
cube root of 428938072 is 754.1623808607
Scales and comparisons
How big is 428938072?- 428,938,072 seconds is equal to 13 years, 33 weeks, 1 day, 13 hours, 27 minutes, 52 seconds.
-
To count from 1 to 428,938,072 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 428938072 cubic inches would be around 62.8 feet tall.
Recreational maths with 428938072
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