54688960
54,688,960 is an even composite number composed of five prime numbers multiplied together.
54688960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 54688960:
26 × 5 × 31 × 37 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 31 × 37 × 149)See below for interesting mathematical facts about the number 54688960 from the Numbermatics database.
Names of 54688960
- Cardinal: 54688960 can be written as Fifty-four million, six hundred eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 5.468896 × 107
Factors of 54688960
Divisors of 54688960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 8 10 16 20 31 32 37 40 62 64 74 80 124 148 149 155 160 185 248 296 298 310 320 370 496 592 596 620 740 745 992 1147 1184 1192 1240 1480 1490 1984 2294 2368 2384 2480 2960 2980 4588 4619 4768 4960 5513 5735 5920 5960 9176 9238 9536 9920 11026 11470 11840 11920 18352 18476 22052 22940 23095 23840 27565 36704 36952 44104 45880 46190 47680 55130 73408 73904 88208 91760 92380 110260 147808 170903 176416 183520 184760 220520 295616 341806 352832 367040 369520 441040 683612 739040 854515 882080 1367224 1478080 1709030 1764160 2734448 3418060 5468896 6836120 10937792 13672240 27344480 54688960
- Sum of all divisors σ(n): 138988800
- Sum of proper divisors (its aliquot sum) s(n): 84299840
- 54688960 is an abundant number, because the sum of its proper divisors (84299840) is greater than itself. Its abundance is 29610880
Bases of 54688960
- Binary: 110100001001111100110000002
- Hexadecimal: 0x3427CC0
- Base-36: WK69S
Squares and roots of 54688960
- 54688960 squared (546889602) is 2990882345881600
- 54688960 cubed (546889603) is 163568244978624987136000
-
The
square root of 54688960 is 7395.1984422327 -
The
cube root of 54688960 is 379.5769992981
Scales and comparisons
How big is 54688960?- 54,688,960 seconds is equal to 1 year, 38 weeks, 2 days, 23 hours, 22 minutes, 40 seconds.
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To count from 1 to 54,688,960 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 54688960 cubic inches would be around 31.6 feet tall.
Recreational maths with 54688960
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