488428920
488,428,920 is an even composite number composed of six prime numbers multiplied together.
488428920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 488428920:
23 × 33 × 5 × 7 × 23 × 532
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 23 × 53 × 53)See below for interesting mathematical facts about the number 488428920 from the Numbermatics database.
Names of 488428920
- Cardinal: 488428920 can be written as Four hundred eighty-eight million, four hundred twenty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.8842892 × 108
Factors of 488428920
Divisors of 488428920
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 23 24 27 28 30 35 36 40 42 45 46 53 54 56 60 63 69 70 72 84 90 92 105 106 108 115 120 126 135 138 140 159 161 168 180 184 189 207 210 212 216 230 252 265 270 276 280 315 318 322 345 360 371 378 414 420 424 460 477 483 504 530 540 552 621 630 636 644 690 742 756 795 805 828 840 920 945 954 966 1035 1060 1080 1113 1219 1242 1260 1272 1288 1380 1431 1449 1484 1512 1590 1610 1656 1855 1890 1908 1932 2070 2120 2226 2385 2415 2438 2484 2520 2760 2809 2862 2898 2968 3105 3180 3220 3339 3657 3710 3780 3816 3864 4140 4347 4452 4770 4830 4876 4968 5565 5618 5724 5796 6095 6210 6360 6440 6678 7155 7245 7314 7420 7560 8280 8427 8533 8694 8904 9540 9660 9752 10017 10971 11130 11236 11448 11592 12190 12420 13356 14045 14310 14490 14628 14840 16695 16854 17066 17388 18285 19080 19320 19663 20034 21735 21942 22260 22472 24380 24840 25281 25599 26712 28090 28620 28980 29256 32913 33390 33708 34132 34776 36570 39326 40068 42135 42665 43470 43884 44520 48760 50085 50562 51198 54855 56180 57240 57960 58989 64607 65826 66780 67416 68264 73140 75843 76797 78652 80136 84270 85330 86940 87768 98315 100170 101124 102396 109710 112360 117978 126405 127995 129214 131652 133560 146280 151686 153594 157304 164565 168540 170660 173880 176967 193821 196630 200340 202248 204792 219420 230391 235956 252810 255990 258428 263304 294945 303372 307188 323035 329130 337080 341320 353934 379215 383985 387642 393260 400680 438840 452249 460782 471912 505620 511980 516856 530901 581463 589890 606744 614376 646070 658260 707868 758430 767970 775284 786520 884835 904498 921564 969105 1011240 1023960 1061802 1151955 1162926 1179780 1292140 1316520 1356747 1415736 1516860 1535940 1550568 1744389 1769670 1808996 1843128 1938210 2123604 2261245 2303910 2325852 2359560 2584280 2654505 2713494 2907315 3033720 3071880 3488778 3539340 3617992 3876420 4070241 4247208 4522490 4607820 4651704 5309010 5426988 5814630 6783735 6977556 7078680 7752840 8140482 8721945 9044980 9215640 10618020 10853976 11629260 12210723 13567470 13955112 16280964 17443890 18089960 20351205 21236040 23258520 24421446 27134940 32561928 34887780 40702410 48842892 54269880 61053615 69775560 81404820 97685784 122107230 162809640 244214460 488428920
- Sum of all divisors σ(n): 1978905600
- Sum of proper divisors (its aliquot sum) s(n): 1490476680
- 488428920 is an abundant number, because the sum of its proper divisors (1490476680) is greater than itself. Its abundance is 1002047760
Bases of 488428920
- Binary: 111010001110011010101011110002
- Hexadecimal: 0x1D1CD578
- Base-36: 82SQ60
Squares and roots of 488428920
- 488428920 squared (4884289202) is 238562809892366400
- 488428920 cubed (4884289203) is 116520975587893836996288000
-
The
square root of 488428920 is 22100.4280501533 -
The
cube root of 488428920 is 787.5300306009
Scales and comparisons
How big is 488428920?- 488,428,920 seconds is equal to 15 years, 27 weeks, 4 days, 2 hours, 42 minutes.
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To count from 1 to 488,428,920 would take you about twenty-three 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 488428920 cubic inches would be around 65.6 feet tall.
Recreational maths with 488428920
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