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32085329 = 416112829
BaseRepresentation
bin111101001100…
…1010101010001
32020101002210112
41322121111101
531203212304
63103411105
7536502143
oct172312521
966332715
1032085329
1117125201
12a8b3a95
136855203
144392c93
152c3bb6e
hex1e99551

32085329 has 8 divisors (see below), whose sum is σ = 33409320. Its totient is φ = 30787200.

The previous prime is 32085323. The next prime is 32085371. The reversal of 32085329 is 92358023.

It can be written as a sum of positive squares in 4 ways, for example, as 49729 + 32035600 = 223^2 + 5660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32085329 - 28 = 32085073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32085295 and 32085304.

It is not an unprimeable number, because it can be changed into a prime (32085323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3914 + ... + 8915.

It is an arithmetic number, because the mean of its divisors is an integer number (4176165).

Almost surely, 232085329 is an apocalyptic number.

It is an amenable number.

32085329 is a deficient number, since it is larger than the sum of its proper divisors (1323991).

32085329 is a wasteful number, since it uses less digits than its factorization.

32085329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12931.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 32085329 is about 5664.3913176969. The cubic root of 32085329 is about 317.7621502422.

The spelling of 32085329 in words is "thirty-two million, eighty-five thousand, three hundred twenty-nine".

Divisors: 1 41 61 2501 12829 525989 782569 32085329