428789152
428,789,152 is an even composite number composed of five prime numbers multiplied together.
428789152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428789152:
25 × 112 × 37 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 37 × 41 × 73)See below for interesting mathematical facts about the number 428789152 from the Numbermatics database.
Names of 428789152
- Cardinal: 428789152 can be written as Four hundred twenty-eight million, seven hundred eighty-nine thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.28789152 × 108
Factors of 428789152
Divisors of 428789152
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 8 11 16 22 32 37 41 44 73 74 82 88 121 146 148 164 176 242 292 296 328 352 407 451 484 584 592 656 803 814 902 968 1168 1184 1312 1517 1606 1628 1804 1936 2336 2701 2993 3034 3212 3256 3608 3872 4477 4961 5402 5986 6068 6424 6512 7216 8833 8954 9922 10804 11972 12136 12848 13024 14432 16687 17666 17908 19844 21608 23944 24272 25696 29711 32923 33374 35332 35816 39688 43216 47888 48544 59422 65846 66748 70664 71632 79376 86432 95776 110741 118844 131692 133496 141328 143264 158752 183557 221482 237688 263384 266992 282656 326821 362153 367114 442964 475376 526768 533984 653642 724306 734228 885928 950752 1053536 1218151 1307284 1448612 1468456 1771856 2436302 2614568 2897224 2936912 3543712 4872604 5229136 5794448 5873824 9745208 10458272 11588896 13399661 19490416 26799322 38980832 53598644 107197288 214394576 428789152
- Sum of all divisors σ(n): 989593416
- Sum of proper divisors (its aliquot sum) s(n): 560804264
- 428789152 is an abundant number, because the sum of its proper divisors (560804264) is greater than itself. Its abundance is 132015112
Bases of 428789152
- Binary: 110011000111011001101101000002
- Hexadecimal: 0x198ECDA0
- Base-36: 73AFTS
Squares and roots of 428789152
- 428789152 squared (4287891522) is 183860136872879104
- 428789152 cubed (4287891523) is 78837232176325762802679808
-
The
square root of 428789152 is 20707.2246329633 -
The
cube root of 428789152 is 754.0750933097
Scales and comparisons
How big is 428789152?- 428,789,152 seconds is equal to 13 years, 32 weeks, 6 days, 20 hours, 5 minutes, 52 seconds.
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To count from 1 to 428,789,152 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 428789152 cubic inches would be around 62.8 feet tall.
Recreational maths with 428789152
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