252428400
252,428,400 is an even composite number composed of five prime numbers multiplied together.
252428400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 252428400:
24 × 35 × 52 × 72 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 53)See below for interesting mathematical facts about the number 252428400 from the Numbermatics database.
Names of 252428400
- Cardinal: 252428400 can be written as Two hundred fifty-two million, four hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.524284 × 108
Factors of 252428400
Divisors of 252428400
- Number of divisors d(n): 540
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 49 50 53 54 56 60 63 70 72 75 80 81 84 90 98 100 105 106 108 112 120 126 135 140 144 147 150 159 162 168 175 180 189 196 200 210 212 216 225 240 243 245 252 265 270 280 294 300 315 318 324 336 350 360 371 378 392 400 405 420 424 432 441 450 477 486 490 504 525 530 540 560 567 588 600 630 636 648 675 700 720 735 742 756 784 795 810 840 848 882 900 945 954 972 980 1008 1050 1060 1080 1113 1134 1176 1200 1215 1225 1260 1272 1296 1323 1325 1350 1400 1431 1470 1484 1512 1575 1590 1620 1680 1701 1764 1800 1855 1890 1908 1944 1960 2025 2100 2120 2160 2205 2226 2268 2352 2385 2430 2450 2520 2544 2597 2646 2650 2700 2800 2835 2862 2940 2968 3024 3150 3180 3240 3339 3402 3528 3600 3675 3710 3780 3816 3888 3920 3969 3975 4050 4200 4240 4293 4410 4452 4536 4725 4770 4860 4900 5040 5194 5292 5300 5400 5565 5670 5724 5880 5936 6075 6300 6360 6480 6615 6678 6804 7056 7155 7350 7420 7560 7632 7791 7938 7950 8100 8400 8505 8586 8820 8904 9072 9275 9450 9540 9720 9800 10017 10388 10584 10600 10800 11025 11130 11340 11448 11760 11907 11925 12150 12600 12720 12879 12985 13230 13356 13608 14175 14310 14700 14840 15120 15582 15876 15900 16200 16695 17010 17172 17640 17808 18550 18900 19080 19440 19600 19845 20034 20776 21168 21200 21465 22050 22260 22680 22896 23373 23814 23850 24300 25200 25758 25970 26460 26712 27216 27825 28350 28620 29400 29680 30051 31164 31752 31800 32400 33075 33390 34020 34344 35280 35775 37100 37800 38160 38955 39690 40068 41552 42525 42930 44100 44520 45360 46746 47628 47700 48600 50085 51516 51940 52920 53424 55650 56700 57240 58800 59535 60102 62328 63504 63600 64395 64925 66150 66780 68040 68688 70119 71550 74200 75600 77910 79380 80136 83475 85050 85860 88200 89040 90153 93492 95256 95400 97200 99225 100170 103032 103880 105840 107325 111300 113400 114480 116865 119070 120204 124656 128790 129850 132300 133560 136080 140238 143100 148400 150255 155820 158760 160272 166950 170100 171720 176400 180306 186984 190512 190800 194775 198450 200340 206064 207760 210357 214650 222600 226800 233730 238140 240408 250425 257580 259700 264600 267120 280476 286200 297675 300510 311640 317520 321975 333900 340200 343440 350595 360612 373968 389550 396900 400680 420714 429300 445200 450765 467460 476280 480816 500850 515160 519400 529200 560952 572400 584325 595350 601020 623280 631071 643950 667800 680400 701190 721224 751275 779100 793800 801360 841428 858600 901530 934920 952560 1001700 1030320 1038800 1051785 1121904 1168650 1190700 1202040 1262142 1287900 1335600 1402380 1442448 1502550 1558200 1587600 1682856 1717200 1752975 1803060 1869840 2003400 2103570 2253825 2337300 2381400 2404080 2524284 2575800 2804760 3005100 3116400 3155355 3365712 3505950 3606120 4006800 4207140 4507650 4674600 4762800 5048568 5151600 5258925 5609520 6010200 6310710 7011900 7212240 8414280 9015300 9349200 10097136 10517850 12020400 12621420 14023800 15776775 16828560 18030600 21035700 25242840 28047600 31553550 36061200 42071400 50485680 63107100 84142800 126214200 252428400
- Sum of all divisors σ(n): 1076696712
- Sum of proper divisors (its aliquot sum) s(n): 824268312
- 252428400 is an abundant number, because the sum of its proper divisors (824268312) is greater than itself. Its abundance is 571839912
Bases of 252428400
- Binary: 11110000101111000000011100002
- Hexadecimal: 0xF0BC070
- Base-36: 46AF00
Squares and roots of 252428400
- 252428400 squared (2524284002) is 63720097126560000
- 252428400 cubed (2524284003) is 16084762165502138304000000
-
The
square root of 252428400 is 15887.9954682773 -
The
cube root of 252428400 is 631.9936841755
Scales and comparisons
How big is 252428400?- 252,428,400 seconds is equal to 8 years, 1 week, 2 days, 15 hours.
-
To count from 1 to 252,428,400 would take you about twelve 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 252428400 cubic inches would be around 52.7 feet tall.
Recreational maths with 252428400
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