428948520
428,948,520 is an even composite number composed of seven prime numbers multiplied together.
428948520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 428948520:
23 × 3 × 5 × 7 × 11 × 13 × 3571
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 3571)See below for interesting mathematical facts about the number 428948520 from the Numbermatics database.
Names of 428948520
- Cardinal: 428948520 can be written as Four hundred twenty-eight million, nine hundred forty-eight thousand, five hundred twenty.
Scientific notation
- Scientific notation: 4.2894852 × 108
Factors of 428948520
Divisors of 428948520
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 20 21 22 24 26 28 30 33 35 39 40 42 44 52 55 56 60 65 66 70 77 78 84 88 91 104 105 110 120 130 132 140 143 154 156 165 168 182 195 210 220 231 260 264 273 280 286 308 312 330 364 385 390 420 429 440 455 462 520 546 572 616 660 715 728 770 780 840 858 910 924 1001 1092 1144 1155 1320 1365 1430 1540 1560 1716 1820 1848 2002 2145 2184 2310 2730 2860 3003 3080 3432 3571 3640 4004 4290 4620 5005 5460 5720 6006 7142 8008 8580 9240 10010 10713 10920 12012 14284 15015 17160 17855 20020 21426 24024 24997 28568 30030 35710 39281 40040 42852 46423 49994 53565 60060 71420 74991 78562 85704 92846 99988 107130 117843 120120 124985 139269 142840 149982 157124 185692 196405 199976 214260 232115 235686 249970 274967 278538 299964 314248 324961 371384 374955 392810 428520 464230 471372 499940 510653 549934 557076 589215 599928 649922 696345 749910 785620 824901 928460 942744 974883 999880 1021306 1099868 1114152 1178430 1299844 1374835 1392690 1499820 1531959 1571240 1624805 1649802 1856920 1949766 2042612 2199736 2356860 2553265 2599688 2749670 2785380 2999640 3063918 3249610 3299604 3574571 3899532 4085224 4124505 4713720 4874415 5106530 5499340 5570760 6127836 6499220 6599208 7149142 7659795 7799064 8249010 9748830 10213060 10723713 10998680 12255672 12998440 14298284 15319590 16498020 17872855 19497660 20426120 21447426 28596568 30639180 32996040 35745710 38995320 42894852 53618565 61278360 71491420 85789704 107237130 142982840 214474260 428948520
- Sum of all divisors σ(n): 1728276480
- Sum of proper divisors (its aliquot sum) s(n): 1299327960
- 428948520 is an abundant number, because the sum of its proper divisors (1299327960) is greater than itself. Its abundance is 870379440
Bases of 428948520
- Binary: 110011001000100111100001010002
- Hexadecimal: 0x19913C28
- Base-36: 73DUSO
Squares and roots of 428948520
- 428948520 squared (4289485202) is 183996832810190400
- 428948520 cubed (4289485203) is 78925169118618612998208000
-
The
square root of 428948520 is 20711.0724010129 -
The
cube root of 428948520 is 754.1685040637
Scales and comparisons
How big is 428948520?- 428,948,520 seconds is equal to 13 years, 33 weeks, 1 day, 16 hours, 22 minutes.
-
To count from 1 to 428,948,520 would take you about twenty 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 428948520 cubic inches would be around 62.8 feet tall.
Recreational maths with 428948520
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"Number 428948520 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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