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83386212 = 223713194019
BaseRepresentation
bin1001111100001…
…01111101100100
312210220110101020
410332011331210
5132321324322
612135131140
72031525330
oct476057544
9183813336
1083386212
1143084328
1223b13ab0
1314377770
14b1087c0
1574c205c
hex4f85f64

83386212 has 96 divisors (see below), whose sum is σ = 252134400. Its totient is φ = 20829312.

The previous prime is 83386189. The next prime is 83386213. The reversal of 83386212 is 21268338.

It is not an unprimeable number, because it can be changed into a prime (83386213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18739 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (2626400).

Almost surely, 283386212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83386212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126067200).

83386212 is an abundant number, since it is smaller than the sum of its proper divisors (168748188).

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

83386212 is a wasteful number, since it uses less digits than its factorization.

83386212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4063 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 83386212 is about 9131.6051162980. The cubic root of 83386212 is about 436.8826003741.

The spelling of 83386212 in words is "eighty-three million, three hundred eighty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 4019 5187 6916 8038 10374 12057 16076 20748 24114 28133 48228 52247 56266 76361 84399 104494 112532 152722 156741 168798 208988 229083 305444 313482 337596 365729 458166 534527 626964 731458 916332 992693 1069054 1097187 1462916 1603581 1985386 2138108 2194374 2978079 3207162 3970772 4388748 5956158 6414324 6948851 11912316 13897702 20846553 27795404 41693106 83386212