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58121046 = 232232947103
BaseRepresentation
bin1101110110110…
…1101101010110
311001100212002100
43131231231112
5104334333141
65433422530
71304010054
oct335555526
9131325070
1058121046
112a898225
121756aa46
13c06c969
147a0d1d4
1551810b6
hex376db56

58121046 has 96 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 17341632.

The previous prime is 58121039. The next prime is 58121059. The reversal of 58121046 is 64012185.

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 47 ways as a sum of consecutive naturals, for example, 564231 + ... + 564333.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 258121046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58121046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

58121046 is an abundant number, since it is smaller than the sum of its proper divisors (82054314).

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

58121046 is a wasteful number, since it uses less digits than its factorization.

58121046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

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

The square root of 58121046 is about 7623.7160230428. The cubic root of 58121046 is about 387.3567609328.

It can be divided in two parts, 58 and 121046, that added together give a square (121104 = 3482).

The spelling of 58121046 in words is "fifty-eight million, one hundred twenty-one thousand, forty-six".

Divisors: 1 2 3 6 9 18 23 29 46 47 58 69 87 94 103 138 141 174 206 207 261 282 309 414 423 522 618 667 846 927 1081 1334 1363 1854 2001 2162 2369 2726 2987 3243 4002 4089 4738 4841 5974 6003 6486 7107 8178 8961 9682 9729 12006 12267 14214 14523 17922 19458 21321 24534 26883 29046 31349 42642 43569 53766 62698 68701 87138 94047 111343 137402 140389 188094 206103 222686 280778 282141 334029 412206 421167 564282 618309 668058 842334 1002087 1236618 1263501 2004174 2527002 3228947 6457894 9686841 19373682 29060523 58121046