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58585930 = 25131923719
BaseRepresentation
bin1101111101111…
…1001101001010
311002020110210021
43133133031022
5104444222210
65451411054
71310654314
oct337371512
9132213707
1058585930
1130085527
1217753a8a
13c1a3440
147ad07b4
155223bda
hex37df34a

58585930 has 32 divisors (see below), whose sum is σ = 119548800. Its totient is φ = 20492352.

The previous prime is 58585921. The next prime is 58585973. The reversal of 58585930 is 3958585.

It is a happy number.

It is a super-2 number, since 2×585859302 = 6864622387929800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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, 9390 + ... + 14329.

It is an arithmetic number, because the mean of its divisors is an integer number (3735900).

Almost surely, 258585930 is an apocalyptic number.

58585930 is an abundant number, since it is smaller than the sum of its proper divisors (60962870).

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

58585930 is a wasteful number, since it uses less digits than its factorization.

58585930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758.

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 58585930 is about 7654.1446288922. The cubic root of 58585930 is about 388.3867835008.

The spelling of 58585930 in words is "fifty-eight million, five hundred eighty-five thousand, nine hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 494 1235 2470 23719 47438 118595 237190 308347 450661 616694 901322 1541735 2253305 3083470 4506610 5858593 11717186 29292965 58585930