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32008093 = 13317857
BaseRepresentation
bin111101000011…
…0011110011101
32020020011211221
41322012132131
531143224333
63102013341
7536031025
oct172063635
966204757
1032008093
1117082177
12a877251
136829000
144372a85
152c23d2d
hex1e8679d

32008093 has 16 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 27775488.

The previous prime is 32008073. The next prime is 32008099. The reversal of 32008093 is 39080023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9474084 + 22534009 = 3078^2 + 4747^2 .

It is not a de Polignac number, because 32008093 - 213 = 31999901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32008099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36921 + ... + 37777.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 232008093 is an apocalyptic number.

It is an amenable number.

32008093 is a deficient number, since it is larger than the sum of its proper divisors (4748627).

32008093 is an equidigital number, since it uses as much as digits as its factorization.

32008093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 32008093 is about 5657.5695311680. The cubic root of 32008093 is about 317.5069723808.

The spelling of 32008093 in words is "thirty-two million, eight thousand, ninety-three".

Divisors: 1 13 17 169 221 857 2197 2873 11141 14569 37349 144833 189397 1882829 2462161 32008093