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86386212 = 223211312227
BaseRepresentation
bin1010010011000…
…10011000100100
320000112212121100
411021202120210
5134103324322
612323320100
72066161563
oct511423044
9200485540
1086386212
1144843270
1224b20030
1314b88103
14b689bda
1578b5dac
hex5262624

86386212 has 108 divisors (see below), whose sum is σ = 247233168. Its totient is φ = 25221600.

The previous prime is 86386211. The next prime is 86386241. The reversal of 86386212 is 21268368.

86386212 is a `hidden beast` number, since 8 + 638 + 6 + 2 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (86386211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380443 + ... + 380669.

It is an arithmetic number, because the mean of its divisors is an integer number (2289196).

Almost surely, 286386212 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 86386212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123616584).

86386212 is an abundant number, since it is smaller than the sum of its proper divisors (160846956).

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

86386212 is a wasteful number, since it uses less digits than its factorization.

86386212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 274 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86386212 is about 9294.4183249948. The cubic root of 86386212 is about 442.0602621847.

The spelling of 86386212 in words is "eighty-six million, three hundred eighty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 227 279 341 372 396 454 558 681 682 908 961 1023 1116 1362 1364 1922 2043 2046 2497 2724 2883 3069 3844 4086 4092 4994 5766 6138 7037 7491 8172 8649 9988 10571 11532 12276 14074 14982 17298 21111 21142 22473 28148 29964 31713 34596 42222 42284 44946 63333 63426 77407 84444 89892 95139 126666 126852 154814 190278 218147 232221 253332 309628 380556 436294 464442 654441 696663 872588 928884 1308882 1393326 1963323 2399617 2617764 2786652 3926646 4799234 7198851 7853292 9598468 14397702 21596553 28795404 43193106 86386212