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258058164 = 2237131713901
BaseRepresentation
bin11110110000110…
…10011110110100
3122222120201020210
433120122132310
51012030330124
641335025420
76252313110
oct1730323664
9588521223
10258058164
11122737a11
127250b270
1341604450
14263b6740
15179c6a29
hexf61a7b4

258058164 has 96 divisors (see below), whose sum is σ = 784740096. Its totient is φ = 64051200.

The previous prime is 258058109. The next prime is 258058169. The reversal of 258058164 is 461850852.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258058169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11614 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (8174376).

Almost surely, 2258058164 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 258058164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392370048).

258058164 is an abundant number, since it is smaller than the sum of its proper divisors (526681932).

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

258058164 is a wasteful number, since it uses less digits than its factorization.

258058164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 258058164 is about 16064.1888684116. The cubic root of 258058164 is about 636.6575119371.

The spelling of 258058164 in words is "two hundred fifty-eight million, fifty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 6188 9282 13901 18564 27802 41703 55604 83406 97307 166812 180713 194614 236317 291921 361426 389228 472634 542139 583842 708951 722852 945268 1084278 1167684 1264991 1417902 1654219 2168556 2529982 2835804 3072121 3308438 3794973 4962657 5059964 6144242 6616876 7589946 9216363 9925314 12288484 15179892 18432726 19850628 21504847 36865452 43009694 64514541 86019388 129029082 258058164