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58314135 = 3511219289
BaseRepresentation
bin1101111001110…
…0110110010111
311001201122221210
43132130312113
5104412023020
65441512503
71305443025
oct336346627
9131648853
1058314135
112aa0a300
1217642733
13c109809
147a5d715
1551bd3e0
hex379cd97

58314135 has 72 divisors (see below), whose sum is σ = 109453680. Its totient is φ = 26484480.

The previous prime is 58314127. The next prime is 58314161. The reversal of 58314135 is 53141385.

It is not a de Polignac number, because 58314135 - 23 = 58314127 is a prime.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 655171 + ... + 655259.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 258314135 is an apocalyptic number.

58314135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

58314135 is a deficient number, since it is larger than the sum of its proper divisors (51139545).

58314135 is a wasteful number, since it uses less digits than its factorization.

58314135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 58314135 is about 7636.3692288941. The cubic root of 58314135 is about 387.7852440174.

The spelling of 58314135 in words is "fifty-eight million, three hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 19 33 55 57 89 95 121 165 209 267 285 361 363 445 605 627 979 1045 1083 1335 1691 1805 1815 2299 2937 3135 3971 4895 5073 5415 6897 8455 10769 11495 11913 14685 18601 19855 25365 32129 32307 34485 43681 53845 55803 59565 93005 96387 131043 160645 161535 204611 218405 279015 353419 481935 613833 655215 1023055 1060257 1767095 3069165 3887609 5301285 11662827 19438045 58314135