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82716390 = 2345176007
BaseRepresentation
bin1001110111000…
…10011011100110
312202122102120000
410323202123212
5132133411030
612112522130
72023035441
oct473423346
9182572500
1082716390
1142767059
1223850346
13141a1913
14adb2658
1573dd860
hex4ee26e6

82716390 has 80 divisors (see below), whose sum is σ = 235537632. Its totient is φ = 20756736.

The previous prime is 82716383. The next prime is 82716409. The reversal of 82716390 is 9361728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10767 + ... + 16773.

Almost surely, 282716390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82716390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117768816).

82716390 is an abundant number, since it is smaller than the sum of its proper divisors (152821242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82716390 is a wasteful number, since it uses less digits than its factorization.

82716390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82716390 is about 9094.8551390333. The cubic root of 82716390 is about 435.7096620745.

The spelling of 82716390 in words is "eighty-two million, seven hundred sixteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6007 6885 12014 13770 18021 30035 36042 54063 60070 90105 102119 108126 162189 180210 204238 270315 306357 324378 486567 510595 540630 612714 810945 919071 973134 1021190 1531785 1621890 1838142 2432835 2757213 3063570 4595355 4865670 5514426 8271639 9190710 13786065 16543278 27572130 41358195 82716390