85378400
85,378,400 is an even composite number composed of five prime numbers multiplied together.
85378400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 85378400:
25 × 52 × 19 × 41 × 137
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 41 × 137)See below for interesting mathematical facts about the number 85378400 from the Numbermatics database.
Names of 85378400
- Cardinal: 85378400 can be written as Eighty-five million, three hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 8.53784 × 107
Factors of 85378400
Divisors of 85378400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 76 80 82 95 100 137 152 160 164 190 200 205 274 304 328 380 400 410 475 548 608 656 685 760 779 800 820 950 1025 1096 1312 1370 1520 1558 1640 1900 2050 2192 2603 2740 3040 3116 3280 3425 3800 3895 4100 4384 5206 5480 5617 6232 6560 6850 7600 7790 8200 10412 10960 11234 12464 13015 13700 15200 15580 16400 19475 20824 21920 22468 24928 26030 27400 28085 31160 32800 38950 41648 44936 52060 54800 56170 62320 65075 77900 83296 89872 104120 106723 109600 112340 124640 130150 140425 155800 179744 208240 213446 224680 260300 280850 311600 416480 426892 449360 520600 533615 561700 623200 853784 898720 1041200 1067230 1123400 1707568 2082400 2134460 2246800 2668075 3415136 4268920 4493600 5336150 8537840 10672300 17075680 21344600 42689200 85378400
- Sum of all divisors σ(n): 226391760
- Sum of proper divisors (its aliquot sum) s(n): 141013360
- 85378400 is an abundant number, because the sum of its proper divisors (141013360) is greater than itself. Its abundance is 55634960
Bases of 85378400
- Binary: 1010001011011000101011000002
- Hexadecimal: 0x516C560
- Base-36: 1ETYE8
Squares and roots of 85378400
- 85378400 squared (853784002) is 7289471186560000
- 85378400 cubed (853784003) is 622363386754594304000000
-
The
square root of 85378400 is 9240.0432899419 -
The
cube root of 85378400 is 440.3344564495
Scales and comparisons
How big is 85378400?- 85,378,400 seconds is equal to 2 years, 37 weeks, 1 day, 4 hours, 13 minutes, 20 seconds.
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To count from 1 to 85,378,400 would take you about four 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 85378400 cubic inches would be around 36.7 feet tall.
Recreational maths with 85378400
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