Search a number
-
+
258066588 = 2231319831049
BaseRepresentation
bin11110110000111…
…00100010011100
3122222121010210210
433120130202130
51012031112323
641335132420
76252346503
oct1730344234
9588533723
10258066588
1112274327a
1272514110
1341608230
14263b983a
15179c9293
hexf61c89c

258066588 has 96 divisors (see below), whose sum is σ = 691488000. Its totient is φ = 74248704.

The previous prime is 258066553. The next prime is 258066617. The reversal of 258066588 is 885660852.

258066588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245488 + ... + 246536.

It is an arithmetic number, because the mean of its divisors is an integer number (7203000).

Almost surely, 2258066588 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 258066588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345744000).

258066588 is an abundant number, since it is smaller than the sum of its proper divisors (433421412).

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

258066588 is a wasteful number, since it uses less digits than its factorization.

258066588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 258066588 is about 16064.4510643844. The cubic root of 258066588 is about 636.6644395026.

The spelling of 258066588 in words is "two hundred fifty-eight million, sixty-six thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 83 114 156 166 228 247 249 332 494 498 741 988 996 1049 1079 1482 1577 2098 2158 2964 3147 3154 3237 4196 4316 4731 6294 6308 6474 9462 12588 12948 13637 18924 19931 20501 27274 39862 40911 41002 54548 59793 61503 79724 81822 82004 87067 119586 123006 163644 174134 239172 246012 259103 261201 348268 518206 522402 777309 1036412 1044804 1131871 1554618 1654273 2263742 3109236 3308546 3395613 4527484 4962819 6617092 6791226 9925638 13582452 19851276 21505549 43011098 64516647 86022196 129033294 258066588