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58212 = 22337211
BaseRepresentation
bin1110001101100100
32221212000
432031210
53330322
61125300
7331500
oct161544
987760
1058212
113a810
1229830
132065b
1417300
15123ac
hexe364

58212 has 72 divisors (see below), whose sum is σ = 191520. Its totient is φ = 15120.

The previous prime is 58211. The next prime is 58217. The reversal of 58212 is 21285.

58212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (58211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5287 + ... + 5297.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

258212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

58212 is an abundant number, since it is smaller than the sum of its proper divisors (133308).

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

58212 is a wasteful number, since it uses less digits than its factorization.

58212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 58212 is about 241.2716311546. The cubic root of 58212 is about 38.7558714655.

Adding to 58212 its reverse (21285), we get a palindrome (79497).

The spelling of 58212 in words is "fifty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 29106 58212