42829920
42,829,920 is an even composite number composed of five prime numbers multiplied together.
42829920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 42829920:
25 × 32 × 5 × 72 × 607
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 607)See below for interesting mathematical facts about the number 42829920 from the Numbermatics database.
Names of 42829920
- Cardinal: 42829920 can be written as Forty-two million, eight hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.282992 × 107
Factors of 42829920
Divisors of 42829920
- Number of divisors d(n): 216
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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 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 196 210 224 240 245 252 280 288 294 315 336 360 392 420 441 480 490 504 560 588 607 630 672 720 735 784 840 882 980 1008 1120 1176 1214 1260 1440 1470 1568 1680 1764 1821 1960 2016 2205 2352 2428 2520 2940 3035 3360 3528 3642 3920 4249 4410 4704 4856 5040 5463 5880 6070 7056 7284 7840 8498 8820 9105 9712 10080 10926 11760 12140 12747 14112 14568 16996 17640 18210 19424 21245 21852 23520 24280 25494 27315 29136 29743 33992 35280 36420 38241 42490 43704 48560 50988 54630 58272 59486 63735 67984 70560 72840 76482 84980 87408 89229 97120 101976 109260 118972 127470 135968 145680 148715 152964 169960 174816 178458 191205 203952 218520 237944 254940 267687 291360 297430 305928 339920 356916 382410 407904 437040 446145 475888 509880 535374 594860 611856 679840 713832 764820 874080 892290 951776 1019760 1070748 1189720 1223712 1338435 1427664 1529640 1784580 2039520 2141496 2379440 2676870 2855328 3059280 3569160 4282992 4758880 5353740 6118560 7138320 8565984 10707480 14276640 21414960 42829920
- Sum of all divisors σ(n): 170299584
- Sum of proper divisors (its aliquot sum) s(n): 127469664
- 42829920 is an abundant number, because the sum of its proper divisors (127469664) is greater than itself. Its abundance is 84639744
Bases of 42829920
- Binary: 101000110110001000011000002
- Hexadecimal: 0x28D8860
- Base-36: PHZS0
Squares and roots of 42829920
- 42829920 squared (428299202) is 1834402047206400
- 42829920 cubed (428299203) is 78567292929686335488000
-
The
square root of 42829920 is 6544.4571967429 -
The
cube root of 42829920 is 349.8772903165
Scales and comparisons
How big is 42829920?- 42,829,920 seconds is equal to 1 year, 18 weeks, 5 days, 17 hours, 12 minutes.
-
To count from 1 to 42,829,920 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 42829920 cubic inches would be around 29.2 feet tall.
Recreational maths with 42829920
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