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58206141 = 337307969
BaseRepresentation
bin1101111000001…
…0011110111101
311001112011211000
43132002132331
5104400044031
65435320513
71304513130
oct336023675
9131464730
1058206141
112a946154
12175b0139
13c09c606
147a32217
15519b3e6
hex37827bd

58206141 has 16 divisors (see below), whose sum is σ = 98550400. Its totient is φ = 33260544.

The previous prime is 58206091. The next prime is 58206149. The reversal of 58206141 is 14160285.

It is not a de Polignac number, because 58206141 - 211 = 58204093 is a prime.

It is a super-3 number, since 3×582061413 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58206149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153796 + ... + 154173.

It is an arithmetic number, because the mean of its divisors is an integer number (6159400).

Almost surely, 258206141 is an apocalyptic number.

It is an amenable number.

58206141 is a deficient number, since it is larger than the sum of its proper divisors (40344259).

58206141 is a wasteful number, since it uses less digits than its factorization.

58206141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307985 (or 307979 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58206141 is about 7629.2949215507. The cubic root of 58206141 is about 387.5457117076.

The spelling of 58206141 in words is "fifty-eight million, two hundred six thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 307969 923907 2155783 2771721 6467349 8315163 19402047 58206141