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258034986 = 232112275741
BaseRepresentation
bin11110110000101…
…00110100101010
3122222112112110100
433120110310222
51012024104421
641334330230
76252155406
oct1730246452
9588475410
10258034986
11122721560
12724b9976
13415c6a31
14263ac106
15179bec26
hexf614d2a

258034986 has 48 divisors (see below), whose sum is σ = 612694368. Its totient is φ = 77834400.

The previous prime is 258034969. The next prime is 258035033. The reversal of 258034986 is 689430852.

258034986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42076 + ... + 47816.

It is an arithmetic number, because the mean of its divisors is an integer number (12764466).

Almost surely, 2258034986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258034986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306347184).

258034986 is an abundant number, since it is smaller than the sum of its proper divisors (354659382).

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

258034986 is a wasteful number, since it uses less digits than its factorization.

258034986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 258034986 is about 16063.4674339011. The cubic root of 258034986 is about 636.6384504854.

The spelling of 258034986 in words is "two hundred fifty-eight million, thirty-four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 454 681 1362 2043 2497 4086 4994 5741 7491 11482 14982 17223 22473 34446 44946 51669 63151 103338 126302 189453 378906 568359 1136718 1303207 2606414 3909621 7819242 11728863 14335277 23457726 28670554 43005831 86011662 129017493 258034986