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82363860 = 223251924083
BaseRepresentation
bin1001110100011…
…00010111010100
312201222111222100
410322030113110
5132041120420
612101202100
72020036605
oct472142724
9181874870
1082363860
1142546207
1223700330
13140aa317
14ad1ddac
15736e190
hex4e8c5d4

82363860 has 72 divisors (see below), whose sum is σ = 262997280. Its totient is φ = 20806848.

The previous prime is 82363849. The next prime is 82363867. The reversal of 82363860 is 6836328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82363867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8622 + ... + 15461.

It is an arithmetic number, because the mean of its divisors is an integer number (3652740).

Almost surely, 282363860 is an apocalyptic number.

It is an amenable number.

82363860 is an abundant number, since it is smaller than the sum of its proper divisors (180633420).

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

82363860 is a wasteful number, since it uses less digits than its factorization.

82363860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24117 (or 24112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82363860 is about 9075.4537076666. The cubic root of 82363860 is about 435.0897951765.

The spelling of 82363860 in words is "eighty-two million, three hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 24083 48166 72249 96332 120415 144498 216747 240830 288996 361245 433494 457577 481660 722490 866988 915154 1083735 1372731 1444980 1830308 2167470 2287885 2745462 4118193 4334940 4575770 5490924 6863655 8236386 9151540 13727310 16472772 20590965 27454620 41181930 82363860