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82871685 = 32513217641
BaseRepresentation
bin1001111000010…
…00010110000101
312202221022120200
410330020112011
5132203343220
612120121113
72024253261
oct474102605
9182838520
1082871685
11428627a6
1223906199
1314227500
14b0130a1
15741e890
hex4f08585

82871685 has 72 divisors (see below), whose sum is σ = 164950344. Its totient is φ = 38338560.

The previous prime is 82871681. The next prime is 82871731. The reversal of 82871685 is 58617828.

It can be written as a sum of positive squares in 12 ways, for example, as 17164449 + 65707236 = 4143^2 + 8106^2 .

It is not a de Polignac number, because 82871685 - 22 = 82871681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82871685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82871681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128965 + ... + 129605.

It is an arithmetic number, because the mean of its divisors is an integer number (2290977).

Almost surely, 282871685 is an apocalyptic number.

82871685 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82871685 is a deficient number, since it is larger than the sum of its proper divisors (82078659).

82871685 is a wasteful number, since it uses less digits than its factorization.

82871685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 82871685 is about 9103.3886547813. The cubic root of 82871685 is about 435.9821644220.

The spelling of 82871685 in words is "eighty-two million, eight hundred seventy-one thousand, six hundred eighty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 169 195 221 255 507 585 641 663 765 845 1105 1521 1923 1989 2535 2873 3205 3315 5769 7605 8333 8619 9615 9945 10897 14365 24999 25857 28845 32691 41665 43095 54485 74997 98073 108329 124995 129285 141661 163455 324987 374985 424983 490365 541645 708305 974961 1274949 1624935 1841593 2124915 4874805 5524779 6374745 9207965 16574337 27623895 82871685