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58189131 = 33711132153
BaseRepresentation
bin1101110111111…
…0010101001011
311001111022111000
43131332111023
5104344023011
65435110043
71304412420
oct335762513
9131438430
1058189131
112a9343a0
12175a2323
13c094950
147a29d47
155196356
hex377e54b

58189131 has 64 divisors (see below), whose sum is σ = 115799040. Its totient is φ = 27889920.

The previous prime is 58189111. The next prime is 58189133. The reversal of 58189131 is 13198185.

It is not a de Polignac number, because 58189131 - 29 = 58188619 is a prime.

It is a super-2 number, since 2×581891312 = 6771949933070322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58189133) 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 63 ways as a sum of consecutive naturals, for example, 25951 + ... + 28103.

It is an arithmetic number, because the mean of its divisors is an integer number (1809360).

Almost surely, 258189131 is an apocalyptic number.

58189131 is a deficient number, since it is larger than the sum of its proper divisors (57609909).

58189131 is a wasteful number, since it uses less digits than its factorization.

58189131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2187 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 58189131 is about 7628.1800581790. The cubic root of 58189131 is about 387.5079562709.

The spelling of 58189131 in words is "fifty-eight million, one hundred eighty-nine thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2153 2457 3003 3861 6459 9009 15071 19377 23683 27027 27989 45213 58131 71049 83967 135639 165781 195923 213147 251901 307879 406917 497343 587769 639441 755703 923637 1492029 1763307 2155153 2770911 4476087 5289921 6465459 8312733 19396377 58189131