242528832
242,528,832 is an even composite number composed of five prime numbers multiplied together.
242528832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 242528832:
26 × 32 × 72 × 13 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 661)See below for interesting mathematical facts about the number 242528832 from the Numbermatics database.
Names of 242528832
- Cardinal: 242528832 can be written as Two hundred forty-two million, five hundred twenty-eight thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 2.42528832 × 108
Factors of 242528832
Divisors of 242528832
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 144 147 156 168 182 192 196 208 224 234 252 273 288 294 312 336 364 392 416 441 448 468 504 546 576 588 624 637 661 672 728 784 819 832 882 936 1008 1092 1176 1248 1274 1322 1344 1456 1568 1638 1764 1872 1911 1983 2016 2184 2352 2496 2548 2644 2912 3136 3276 3528 3744 3822 3966 4032 4368 4627 4704 5096 5288 5733 5824 5949 6552 7056 7488 7644 7932 8593 8736 9254 9408 10192 10576 11466 11898 13104 13881 14112 15288 15864 17186 17472 18508 20384 21152 22932 23796 25779 26208 27762 28224 30576 31728 32389 34372 37016 40768 41643 42304 45864 47592 51558 52416 55524 60151 61152 63456 64778 68744 74032 77337 83286 91728 95184 97167 103116 111048 120302 122304 126912 129556 137488 148064 154674 166572 180453 183456 190368 194334 206232 222096 240604 259112 274976 291501 296128 309348 333144 360906 366912 380736 388668 412464 421057 444192 481208 518224 541359 549952 583002 618696 666288 721812 777336 824928 842114 888384 962416 1036448 1082718 1166004 1237392 1263171 1332576 1443624 1554672 1649856 1684228 1924832 2072896 2165436 2332008 2474784 2526342 2665152 2887248 3109344 3368456 3789513 3849664 4330872 4664016 4949568 5052684 5774496 6218688 6736912 7579026 8661744 9328032 10105368 11548992 13473824 15158052 17323488 18656064 20210736 26947648 30316104 34646976 40421472 60632208 80842944 121264416 242528832
- Sum of all divisors σ(n): 872183676
- Sum of proper divisors (its aliquot sum) s(n): 629654844
- 242528832 is an abundant number, because the sum of its proper divisors (629654844) is greater than itself. Its abundance is 387126012
Bases of 242528832
- Binary: 11100111010010110010010000002
- Hexadecimal: 0xE74B240
- Base-36: 40E8G0
Squares and roots of 242528832
- 242528832 squared (2425288322) is 58820234351284224
- 242528832 cubed (2425288323) is 14265602735183240546746368
-
The
square root of 242528832 is 15573.3372146115 -
The
cube root of 242528832 is 623.6215654105
Scales and comparisons
How big is 242528832?- 242,528,832 seconds is equal to 7 years, 37 weeks, 1 hour, 7 minutes, 12 seconds.
-
To count from 1 to 242,528,832 would take you about eleven 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 242528832 cubic inches would be around 52 feet tall.
Recreational maths with 242528832
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