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8132193 = 323724421
BaseRepresentation
bin11111000001011001100001
3120022011021100
4133001121201
54040212233
6450145013
7126060006
oct37013141
916264240
108132193
114654923
122882169
1318b9664
1411198ad
15aa9813
hex7c1661

8132193 has 12 divisors (see below), whose sum is σ = 12064468. Its totient is φ = 5274720.

The previous prime is 8132177. The next prime is 8132219. The reversal of 8132193 is 3912318.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 5349969 = 1668^2 + 2313^2 .

It is not a de Polignac number, because 8132193 - 24 = 8132177 is a prime.

It is a super-2 number, since 2×81321932 = 132265125978498, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8132693) 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 11 ways as a sum of consecutive naturals, for example, 11878 + ... + 12543.

Almost surely, 28132193 is an apocalyptic number.

It is an amenable number.

8132193 is a deficient number, since it is larger than the sum of its proper divisors (3932275).

8132193 is a wasteful number, since it uses less digits than its factorization.

8132193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24464 (or 24461 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 8132193 is about 2851.7000192867. The cubic root of 8132193 is about 201.0955957244.

The spelling of 8132193 in words is "eight million, one hundred thirty-two thousand, one hundred ninety-three".

Divisors: 1 3 9 37 111 333 24421 73263 219789 903577 2710731 8132193