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58104284 = 22729163439
BaseRepresentation
bin1101110110100…
…1100111011100
311001100000002112
43131221213130
5104333314114
65433213152
71303610150
oct335514734
9131300075
1058104284
112a886677
12175611b8
13c065144
147a07060
15517b13e
hex37699dc

58104284 has 48 divisors (see below), whose sum is σ = 121228800. Its totient is φ = 23841216.

The previous prime is 58104281. The next prime is 58104311. The reversal of 58104284 is 48240185.

It is a happy number.

It is a super-2 number, since 2×581042842 = 6752215638305312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58104284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58104281) 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, 132137 + ... + 132575.

It is an arithmetic number, because the mean of its divisors is an integer number (2525600).

Almost surely, 258104284 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 58104284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60614400).

58104284 is an abundant number, since it is smaller than the sum of its proper divisors (63124516).

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

58104284 is a wasteful number, since it uses less digits than its factorization.

58104284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 58104284 is about 7622.6166111120. The cubic root of 58104284 is about 387.3195196994.

It can be divided in two parts, 5810 and 4284, that multiplied together give a triangular number (24890040 = T7055).

The spelling of 58104284 in words is "fifty-eight million, one hundred four thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 29 58 116 163 203 326 406 439 652 812 878 1141 1756 2282 3073 4564 4727 6146 9454 12292 12731 18908 25462 33089 50924 66178 71557 89117 132356 143114 178234 286228 356468 500899 1001798 2003596 2075153 4150306 8300612 14526071 29052142 58104284