390642048
390,642,048 is an even composite number composed of five prime numbers multiplied together.
390642048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 390642048:
27 × 33 × 17 × 61 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 61 × 109)See below for interesting mathematical facts about the number 390642048 from the Numbermatics database.
Names of 390642048
- Cardinal: 390642048 can be written as Three hundred ninety million, six hundred forty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 3.90642048 × 108
Factors of 390642048
Divisors of 390642048
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 61 64 68 72 96 102 108 109 122 128 136 144 153 183 192 204 216 218 244 272 288 306 327 366 384 408 432 436 459 488 544 549 576 612 654 732 816 864 872 918 976 981 1037 1088 1098 1152 1224 1308 1464 1632 1647 1728 1744 1836 1853 1952 1962 2074 2176 2196 2448 2616 2928 2943 3111 3264 3294 3456 3488 3672 3706 3904 3924 4148 4392 4896 5232 5559 5856 5886 6222 6528 6588 6649 6976 7344 7412 7808 7848 8296 8784 9333 9792 10464 11118 11712 11772 12444 13176 13298 13952 14688 14824 15696 16592 16677 17568 18666 19584 19947 20928 22236 23424 23544 24888 26352 26596 27999 29376 29648 31392 33184 33354 35136 37332 39894 41856 44472 47088 49776 50031 52704 53192 55998 58752 59296 59841 62784 66368 66708 70272 74664 79788 88944 94176 99552 100062 105408 106384 111996 113033 118592 119682 125568 132736 133416 149328 159576 177888 179523 188352 199104 200124 210816 212768 223992 226066 237184 239364 266832 298656 319152 339099 355776 359046 376704 398208 400248 425536 447984 452132 478728 533664 597312 638304 678198 711552 718092 800496 851072 895968 904264 957456 1017297 1067328 1194624 1276608 1356396 1436184 1600992 1791936 1808528 1914912 2034594 2134656 2553216 2712792 2872368 3051891 3201984 3583872 3617056 3829824 4069188 5425584 5744736 6103782 6403968 7234112 7659648 8138376 10851168 11489472 12207564 14468224 16276752 21702336 22978944 24415128 32553504 43404672 48830256 65107008 97660512 130214016 195321024 390642048
- Sum of all divisors σ(n): 1252152000
- Sum of proper divisors (its aliquot sum) s(n): 861509952
- 390642048 is an abundant number, because the sum of its proper divisors (861509952) is greater than itself. Its abundance is 470867904
Bases of 390642048
- Binary: 101110100100010111001100000002
- Hexadecimal: 0x1748B980
- Base-36: 6GKTC0
Squares and roots of 390642048
- 390642048 squared (3906420482) is 152601209665634304
- 390642048 cubed (3906420483) is 59612449071060779733614592
-
The
square root of 390642048 is 19764.6666554233 -
The
cube root of 390642048 is 731.0150687781
Scales and comparisons
How big is 390642048?- 390,642,048 seconds is equal to 12 years, 21 weeks, 6 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 390,642,048 would take you about eighteen 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 390642048 cubic inches would be around 60.9 feet tall.
Recreational maths with 390642048
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