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58681017 = 345313669
BaseRepresentation
bin1101111111011…
…0011010111001
311002102022020000
43133312122321
5110010243032
65453423213
71311531453
oct337663271
9132368200
1058681017
113013aa0a
121779ab09
13c2077c5
147b172d3
155241e7c
hex37f66b9

58681017 has 20 divisors (see below), whose sum is σ = 89319780. Its totient is φ = 38379744.

The previous prime is 58680971. The next prime is 58681043. The reversal of 58681017 is 71018685.

It can be written as a sum of positive squares in 2 ways, for example, as 43283241 + 15397776 = 6579^2 + 3924^2 .

It is not a de Polignac number, because 58681017 - 216 = 58615481 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (58681087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2542 + ... + 11127.

It is an arithmetic number, because the mean of its divisors is an integer number (4465989).

Almost surely, 258681017 is an apocalyptic number.

It is an amenable number.

58681017 is a deficient number, since it is larger than the sum of its proper divisors (30638763).

58681017 is a wasteful number, since it uses less digits than its factorization.

58681017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 58681017 is about 7660.3535819177. The cubic root of 58681017 is about 388.5967916730.

The spelling of 58681017 in words is "fifty-eight million, six hundred eighty-one thousand, seventeen".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 13669 41007 123021 369063 724457 1107189 2173371 6520113 19560339 58681017