428413248
428,413,248 is an even composite number composed of five prime numbers multiplied together.
428413248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 428413248:
26 × 32 × 61 × 89 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 61 × 89 × 137)See below for interesting mathematical facts about the number 428413248 from the Numbermatics database.
Names of 428413248
- Cardinal: 428413248 can be written as Four hundred twenty-eight million, four hundred thirteen thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.28413248 × 108
Factors of 428413248
Divisors of 428413248
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 89 96 122 137 144 178 183 192 244 267 274 288 356 366 411 488 534 548 549 576 712 732 801 822 976 1068 1096 1098 1233 1424 1464 1602 1644 1952 2136 2192 2196 2466 2848 2928 3204 3288 3904 4272 4384 4392 4932 5429 5696 5856 6408 6576 8357 8544 8768 8784 9864 10858 11712 12193 12816 13152 16287 16714 17088 17568 19728 21716 24386 25071 25632 26304 32574 33428 35136 36579 39456 43432 48772 48861 50142 51264 65148 66856 73158 75213 78912 86864 97544 97722 100284 109737 130296 133712 146316 150426 173728 195088 195444 200568 219474 260592 267424 292632 300852 347456 390176 390888 401136 438948 521184 534848 585264 601704 743773 780352 781776 802272 877896 1042368 1170528 1203408 1487546 1563552 1604544 1755792 2231319 2341056 2406816 2975092 3127104 3511584 4462638 4813632 5950184 6693957 7023168 8925276 11900368 13387914 17850552 23800736 26775828 35701104 47601472 53551656 71402208 107103312 142804416 214206624 428413248
- Sum of all divisors σ(n): 1271336040
- Sum of proper divisors (its aliquot sum) s(n): 842922792
- 428413248 is an abundant number, because the sum of its proper divisors (842922792) is greater than itself. Its abundance is 414509544
Bases of 428413248
- Binary: 110011000100100010001010000002
- Hexadecimal: 0x19891140
- Base-36: 732DS0
Squares and roots of 428413248
- 428413248 squared (4284132482) is 183537911061909504
- 428413248 cubed (4284132483) is 78630072609167779690708992
-
The
square root of 428413248 is 20698.1460039299 -
The
cube root of 428413248 is 753.8546720639
Scales and comparisons
How big is 428413248?- 428,413,248 seconds is equal to 13 years, 32 weeks, 2 days, 11 hours, 40 minutes, 48 seconds.
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To count from 1 to 428,413,248 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 428413248 cubic inches would be around 62.8 feet tall.
Recreational maths with 428413248
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