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86196852 = 223371131009
BaseRepresentation
bin1010010001101…
…00001001110100
320000012020212000
411020310021310
5134031244402
612315255300
72064442530
oct510641164
9200166760
1086196852
1144723a75
1224a4a530
1314b1cb71
14b63abc0
157879c1c
hex5234274

86196852 has 96 divisors (see below), whose sum is σ = 257913600. Its totient is φ = 24385536.

The previous prime is 86196839. The next prime is 86196853. The reversal of 86196852 is 25869168.

It is a junction number, because it is equal to n+sod(n) for n = 86196798 and 86196807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86196853) 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 31 ways as a sum of consecutive naturals, for example, 84924 + ... + 85932.

It is an arithmetic number, because the mean of its divisors is an integer number (2686600).

Almost surely, 286196852 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 86196852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128956800).

86196852 is an abundant number, since it is smaller than the sum of its proper divisors (171716748).

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

86196852 is a wasteful number, since it uses less digits than its factorization.

86196852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 86196852 is about 9284.2259774308. The cubic root of 86196852 is about 441.7370247629.

The spelling of 86196852 in words is "eighty-six million, one hundred ninety-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1009 1017 1356 1582 2018 2034 2373 3027 3051 3164 4036 4068 4746 6054 6102 7063 7119 9081 9492 12108 12204 14126 14238 18162 21189 21357 27243 28252 28476 36324 42378 42714 54486 63567 84756 85428 108972 114017 127134 190701 228034 254268 342051 381402 456068 684102 762804 798119 1026153 1368204 1596238 2052306 2394357 3078459 3192476 4104612 4788714 6156918 7183071 9577428 12313836 14366142 21549213 28732284 43098426 86196852