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86193936 = 2433199523
BaseRepresentation
bin1010010001100…
…11011100010000
320000012002212000
411020303130100
5134031201221
612315234000
72064431163
oct510633420
9200162760
1086193936
1144721864
1224a48900
1314b1b73a
14b639ada
157878e26
hex5233710

86193936 has 40 divisors (see below), whose sum is σ = 247409760. Its totient is φ = 28731168.

The previous prime is 86193901. The next prime is 86193983. The reversal of 86193936 is 63939168.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86193891 and 86193900.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99330 + ... + 100193.

It is an arithmetic number, because the mean of its divisors is an integer number (6185244).

Almost surely, 286193936 is an apocalyptic number.

It is an amenable number.

86193936 is an abundant number, since it is smaller than the sum of its proper divisors (161215824).

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

86193936 is a wasteful number, since it uses less digits than its factorization.

86193936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199540 (or 199528 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 86193936 is about 9284.0689355476. The cubic root of 86193936 is about 441.7320434531.

The spelling of 86193936 in words is "eighty-six million, one hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 199523 399046 598569 798092 1197138 1596184 1795707 2394276 3192368 3591414 4788552 5387121 7182828 9577104 10774242 14365656 21548484 28731312 43096968 86193936