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58585205 = 572117933
BaseRepresentation
bin1101111101111…
…1000001110101
311002020102210102
43133133001311
5104444211310
65451403445
71310652230
oct337370165
9132212712
1058585205
1130084a28
1217753585
13c1a3003
147ad0417
1552238a5
hex37df075

58585205 has 16 divisors (see below), whose sum is σ = 80736384. Its totient is φ = 39977280.

The previous prime is 58585181. The next prime is 58585207. The reversal of 58585205 is 50258585.

It is not a de Polignac number, because 58585205 - 26 = 58585141 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58585207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3419 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (5046024).

Almost surely, 258585205 is an apocalyptic number.

It is an amenable number.

58585205 is a deficient number, since it is larger than the sum of its proper divisors (22151179).

58585205 is a wasteful number, since it uses less digits than its factorization.

58585205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156.

The product of its (nonzero) digits is 80000, while the sum is 38.

The square root of 58585205 is about 7654.0972687836. The cubic root of 58585205 is about 388.3851814006.

The spelling of 58585205 in words is "fifty-eight million, five hundred eighty-five thousand, two hundred five".

Divisors: 1 5 7 35 211 1055 1477 7385 7933 39665 55531 277655 1673863 8369315 11717041 58585205