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863226 = 2327131731
BaseRepresentation
bin11010010101111111010
31121212010100
43102233322
5210110401
630300230
710223460
oct3225772
91555110
10863226
1153a611
12357676
13242bb0
14186830
15120b86
hexd2bfa

863226 has 96 divisors (see below), whose sum is σ = 2515968. Its totient is φ = 207360.

The previous prime is 863197. The next prime is 863231. The reversal of 863226 is 622368.

863226 is a `hidden beast` number, since 8 + 632 + 26 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 863226.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 863226.

It is an unprimeable number.

863226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 47 ways as a sum of consecutive naturals, for example, 27831 + ... + 27861.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2863226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984).

863226 is an abundant number, since it is smaller than the sum of its proper divisors (1652742).

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

863226 is a wasteful number, since it uses less digits than its factorization.

863226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 73 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 863226 is about 929.0995640942. The cubic root of 863226 is about 95.2156136856.

It can be divided in two parts, 863 and 226, that added together give a square (1089 = 332).

The spelling of 863226 in words is "eight hundred sixty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 31 34 39 42 51 62 63 78 91 93 102 117 119 126 153 182 186 217 221 234 238 273 279 306 357 403 434 442 527 546 558 651 663 714 806 819 1054 1071 1209 1302 1326 1547 1581 1638 1953 1989 2142 2418 2821 3094 3162 3627 3689 3906 3978 4641 4743 5642 6851 7254 7378 8463 9282 9486 11067 13702 13923 16926 20553 22134 25389 27846 33201 41106 47957 50778 61659 66402 95914 123318 143871 287742 431613 863226