992328480
992,328,480 is an even composite number composed of seven prime numbers multiplied together.
992328480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 992328480:
25 × 32 × 5 × 11 × 13 × 61 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 61 × 79)See below for interesting mathematical facts about the number 992328480 from the Numbermatics database.
Names of 992328480
- Cardinal: 992328480 can be written as Nine hundred ninety-two million, three hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.9232848 × 108
Factors of 992328480
Divisors of 992328480
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 61 65 66 72 78 79 80 88 90 96 99 104 110 117 120 122 130 132 143 144 156 158 160 165 176 180 183 195 198 208 220 234 237 240 244 260 264 286 288 305 312 316 330 352 360 366 390 395 396 416 429 440 468 474 480 488 495 520 528 549 572 585 610 624 632 660 671 711 715 720 732 780 790 792 793 858 869 880 915 936 948 976 990 1027 1040 1056 1098 1144 1170 1185 1220 1248 1264 1287 1320 1342 1422 1430 1440 1464 1560 1580 1584 1586 1716 1738 1760 1830 1872 1896 1952 1980 2013 2054 2080 2145 2196 2288 2340 2370 2379 2440 2528 2574 2607 2640 2684 2745 2844 2860 2928 3081 3120 3160 3168 3172 3355 3432 3476 3555 3660 3744 3792 3960 3965 4026 4108 4290 4345 4392 4576 4680 4740 4758 4819 4880 5135 5148 5214 5280 5368 5490 5688 5720 5856 6039 6162 6240 6320 6344 6435 6710 6864 6952 7110 7137 7320 7584 7821 7920 7930 8052 8216 8580 8690 8723 8784 9243 9360 9480 9516 9638 9760 10065 10270 10296 10428 10736 10980 11297 11376 11440 11895 12078 12324 12640 12688 12870 13035 13420 13728 13904 14220 14274 14457 14640 15405 15642 15840 15860 16104 16432 17160 17380 17446 17568 18486 18720 18960 19032 19276 20130 20540 20592 20856 21472 21960 22594 22752 22880 23790 24095 24156 24648 25376 25740 26070 26169 26840 27808 28440 28548 28914 29280 30195 30810 31284 31720 32208 32864 33891 34320 34760 34892 35685 36972 37920 38064 38552 39105 40260 41080 41184 41712 43371 43615 43920 45188 46215 47580 48190 48312 49296 51480 52140 52338 53009 53680 56485 56880 57096 57828 60390 61620 62568 62647 63440 64416 67782 68640 69520 69784 71370 72285 73944 76128 77104 78210 78507 80520 82160 83424 86742 87230 87840 90376 92430 95160 96380 96624 98592 101673 102960 104280 104676 106018 107360 112970 113760 114192 115656 120780 123240 125136 125294 126880 130845 135564 139040 139568 142740 144570 147888 154208 156420 157014 159027 161040 164320 169455 173484 174460 180752 184860 187941 190320 192760 193248 203346 205920 208560 209352 212036 216855 225940 228384 231312 241560 246480 250272 250588 261690 265045 271128 279136 285480 289140 295776 312840 313235 314028 318054 322080 338910 346968 348920 361504 369720 375882 380640 385520 392535 406692 417120 418704 424072 433710 451880 462624 477081 483120 492960 501176 508365 523380 530090 542256 563823 570960 578280 625680 626470 628056 636108 677820 689117 693936 697840 739440 751764 771040 785070 795135 813384 837408 848144 867420 903760 939705 954162 966240 1002352 1016730 1046760 1060180 1084512 1127646 1141920 1156560 1251360 1252940 1256112 1272216 1355640 1378234 1387872 1395680 1478880 1503528 1570140 1590270 1626768 1696288 1734840 1807520 1879410 1908324 2004704 2033460 2067351 2093520 2120360 2255292 2313120 2385405 2505880 2512224 2544432 2711280 2756468 2819115 3007056 3140280 3180540 3253536 3445585 3469680 3758820 3816648 4066920 4134702 4187040 4240720 4510584 4770810 5011760 5088864 5422560 5512936 5638230 6014112 6202053 6280560 6361080 6891170 6939360 7517640 7633296 8133840 8269404 8481440 9021168 9541620 10023520 10336755 11025872 11276460 12404106 12561120 12722160 13782340 15035280 15266592 16267680 16538808 18042336 19083240 20673510 22051744 22552920 24808212 25444320 27564680 30070560 31010265 33077616 38166480 41347020 45105840 49616424 55129360 62020530 66155232 76332960 82694040 90211680 99232848 110258720 124041060 165388080 198465696 248082120 330776160 496164240 992328480
- Sum of all divisors σ(n): 4094737920
- Sum of proper divisors (its aliquot sum) s(n): 3102409440
- 992328480 is an abundant number, because the sum of its proper divisors (3102409440) is greater than itself. Its abundance is 2110080960
Bases of 992328480
- Binary: 1110110010010110111011001000002
- Hexadecimal: 0x3B25BB20
- Base-36: GET1K0
Squares and roots of 992328480
- 992328480 squared (9923284802) is 984715812219110400
- 992328480 cubed (9923284803) is 977161545171355250184192000
-
The
square root of 992328480 is 31501.2456896549 -
The
cube root of 992328480 is 997.4362595183
Scales and comparisons
How big is 992328480?- 992,328,480 seconds is equal to 31 years, 28 weeks, 5 days, 6 hours, 48 minutes.
-
To count from 1 to 992,328,480 would take you about forty-seven 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 992328480 cubic inches would be around 83.1 feet tall.
Recreational maths with 992328480
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