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258008490 = 23451741457
BaseRepresentation
bin11110110000011…
…10010110101010
3122222111012010000
433120032112222
51012022232430
641334003430
76252015225
oct1730162652
9588435100
10258008490
11122703663
12724a6576
13415b795c
14263a25bc
15179b6e60
hexf60e5aa

258008490 has 160 divisors (see below), whose sum is σ = 754128144. Its totient is φ = 63037440.

The previous prime is 258008489. The next prime is 258008497. The reversal of 258008490 is 94800852.

258008490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 128799801 + 129208689 = 11349^2 + 11367^2 .

It is not an unprimeable number, because it can be changed into a prime (258008497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 564342 + ... + 564798.

Almost surely, 2258008490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258008490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377064072).

258008490 is an abundant number, since it is smaller than the sum of its proper divisors (496119654).

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

258008490 is a wasteful number, since it uses less digits than its factorization.

258008490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 258008490 is about 16062.6426841912. The cubic root of 258008490 is about 636.6166589317.

The spelling of 258008490 in words is "two hundred fifty-eight million, eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 41 45 51 54 81 82 85 90 102 123 135 153 162 170 205 246 255 270 306 369 405 410 457 459 510 615 697 738 765 810 914 918 1107 1230 1371 1377 1394 1530 1845 2091 2214 2285 2295 2742 2754 3321 3485 3690 4113 4182 4570 4590 5535 6273 6642 6855 6885 6970 7769 8226 10455 11070 12339 12546 13710 13770 15538 16605 18737 18819 20565 20910 23307 24678 31365 33210 37017 37474 37638 38845 41130 46614 56211 56457 61695 62730 69921 74034 77690 93685 94095 112422 112914 116535 123390 139842 168633 185085 187370 188190 209763 233070 281055 282285 318529 337266 349605 370170 419526 505899 562110 564570 629289 637058 699210 843165 955587 1011798 1048815 1258578 1517697 1592645 1686330 1911174 2097630 2529495 2866761 3035394 3146445 3185290 4777935 5058990 5733522 6292890 7588485 8600283 9555870 14333805 15176970 17200566 25800849 28667610 43001415 51601698 86002830 129004245 258008490