54429984
54,429,984 is an even composite number composed of five prime numbers multiplied together.
54429984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 54429984:
25 × 32 × 73 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 19 × 29)See below for interesting mathematical facts about the number 54429984 from the Numbermatics database.
Names of 54429984
- Cardinal: 54429984 can be written as Fifty-four million, four hundred twenty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 5.4429984 × 107
Factors of 54429984
Divisors of 54429984
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 29 32 36 38 42 48 49 56 57 58 63 72 76 84 87 96 98 112 114 116 126 133 144 147 152 168 171 174 196 203 224 228 232 252 261 266 288 294 304 336 342 343 348 392 399 406 441 456 464 504 522 532 551 588 608 609 672 684 686 696 784 798 812 882 912 928 931 1008 1029 1044 1064 1102 1176 1197 1218 1368 1372 1392 1421 1568 1596 1624 1653 1764 1824 1827 1862 2016 2058 2088 2128 2204 2352 2394 2436 2736 2744 2784 2793 2842 3087 3192 3248 3306 3528 3654 3724 3857 4116 4176 4256 4263 4408 4704 4788 4872 4959 5472 5488 5586 5684 6174 6384 6496 6517 6612 7056 7308 7448 7714 8232 8352 8379 8526 8816 9576 9744 9918 9947 10976 11172 11368 11571 12348 12768 12789 13034 13224 14112 14616 14896 15428 16464 16758 17052 17632 19152 19488 19551 19836 19894 22344 22736 23142 24696 25578 26068 26448 26999 29232 29792 29841 30856 32928 33516 34104 34713 38304 39102 39672 39788 44688 45472 46284 49392 51156 52136 52896 53998 58464 58653 59682 61712 67032 68208 69426 78204 79344 79576 80997 89376 89523 92568 98784 102312 104272 107996 117306 119364 123424 134064 136416 138852 156408 158688 159152 161994 179046 185136 188993 204624 208544 215992 234612 238728 242991 268128 277704 312816 318304 323988 358092 370272 377986 409248 431984 469224 477456 485982 555408 566979 625632 647976 716184 755972 863968 938448 954912 971964 1110816 1133958 1295952 1432368 1511944 1700937 1876896 1943928 2267916 2591904 2864736 3023888 3401874 3887856 4535832 6047776 6803748 7775712 9071664 13607496 18143328 27214992 54429984
- Sum of all divisors σ(n): 196560000
- Sum of proper divisors (its aliquot sum) s(n): 142130016
- 54429984 is an abundant number, because the sum of its proper divisors (142130016) is greater than itself. Its abundance is 87700032
Bases of 54429984
- Binary: 110011111010001001001000002
- Hexadecimal: 0x33E8920
- Base-36: WEMG0
Squares and roots of 54429984
- 54429984 squared (544299842) is 2962623158240256
- 54429984 cubed (544299843) is 161255531101046602235904
-
The
square root of 54429984 is 7377.6679242157 -
The
cube root of 54429984 is 378.9768970167
Scales and comparisons
How big is 54429984?- 54,429,984 seconds is equal to 1 year, 37 weeks, 6 days, 23 hours, 26 minutes, 24 seconds.
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To count from 1 to 54,429,984 would take you about two 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 54429984 cubic inches would be around 31.6 feet tall.
Recreational maths with 54429984
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