428856960
428,856,960 is an even composite number composed of six prime numbers multiplied together.
428856960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 428856960:
27 × 3 × 5 × 7 × 17 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 1877)See below for interesting mathematical facts about the number 428856960 from the Numbermatics database.
Names of 428856960
- Cardinal: 428856960 can be written as Four hundred twenty-eight million, eight hundred fifty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.2885696 × 108
Factors of 428856960
Divisors of 428856960
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 272 280 320 336 340 357 384 408 420 448 476 480 510 544 560 595 640 672 680 714 816 840 896 952 960 1020 1088 1120 1190 1344 1360 1428 1632 1680 1785 1877 1904 1920 2040 2176 2240 2380 2688 2720 2856 3264 3360 3570 3754 3808 4080 4480 4760 5440 5631 5712 6528 6720 7140 7508 7616 8160 9385 9520 10880 11262 11424 13139 13440 14280 15016 15232 16320 18770 19040 22524 22848 26278 28155 28560 30032 31909 32640 37540 38080 39417 45048 45696 52556 56310 57120 60064 63818 65695 75080 76160 78834 90096 95727 105112 112620 114240 120128 127636 131390 150160 157668 159545 180192 191454 197085 210224 223363 225240 228480 240256 255272 262780 300320 315336 319090 360384 382908 394170 420448 446726 450480 478635 510544 525560 600640 630672 638180 670089 720768 765816 788340 840896 893452 900960 957270 1021088 1051120 1116815 1201280 1261344 1276360 1340178 1531632 1576680 1681792 1786904 1801920 1914540 2042176 2102240 2233630 2522688 2552720 2680356 3063264 3153360 3350445 3573808 3603840 3829080 4084352 4204480 4467260 5045376 5105440 5360712 6126528 6306720 6700890 7147616 7658160 8408960 8934520 10210880 10721424 12253056 12613440 13401780 14295232 15316320 17869040 20421760 21442848 25226880 26803560 28590464 30632640 35738080 42885696 53607120 61265280 71476160 85771392 107214240 142952320 214428480 428856960
- Sum of all divisors σ(n): 1655043840
- Sum of proper divisors (its aliquot sum) s(n): 1226186880
- 428856960 is an abundant number, because the sum of its proper divisors (1226186880) is greater than itself. Its abundance is 797329920
Bases of 428856960
- Binary: 110011000111111010110100000002
- Hexadecimal: 0x198FD680
- Base-36: 73BW5C
Squares and roots of 428856960
- 428856960 squared (4288569602) is 183918292140441600
- 428856960 cubed (4288569603) is 78874639655741677633536000
-
The
square root of 428856960 is 20708.8618711893 -
The
cube root of 428856960 is 754.1148406065
Scales and comparisons
How big is 428856960?- 428,856,960 seconds is equal to 13 years, 33 weeks, 14 hours, 56 minutes.
-
To count from 1 to 428,856,960 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 428856960 cubic inches would be around 62.8 feet tall.
Recreational maths with 428856960
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