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258072204 = 2231341157257
BaseRepresentation
bin11110110000111…
…01111010001100
3122222121102111210
433120131322030
51012031302304
641335214420
76252402045
oct1730357214
9588542453
10258072204
11122747515
1272517410
134160a960
14263bb8cc
15179cac89
hexf61de8c

258072204 has 96 divisors (see below), whose sum is σ = 671138496. Its totient is φ = 76677120.

The previous prime is 258072187. The next prime is 258072229. The reversal of 258072204 is 402270852.

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, 1004044 + ... + 1004300.

It is an arithmetic number, because the mean of its divisors is an integer number (6991026).

Almost surely, 2258072204 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 258072204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335569248).

258072204 is an abundant number, since it is smaller than the sum of its proper divisors (413066292).

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

258072204 is a wasteful number, since it uses less digits than its factorization.

258072204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 258072204 is about 16064.6258593221. The cubic root of 258072204 is about 636.6690577958.

The spelling of 258072204 in words is "two hundred fifty-eight million, seventy-two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 157 164 246 257 314 471 492 514 533 628 771 942 1028 1066 1542 1599 1884 2041 2132 3084 3198 3341 4082 6123 6396 6437 6682 8164 10023 10537 12246 12874 13364 19311 20046 21074 24492 25748 31611 38622 40092 40349 42148 63222 77244 80698 83681 121047 126444 136981 161396 167362 242094 251043 273962 334724 410943 484188 502086 524537 547924 821886 1004172 1049074 1573611 1643772 1654309 2098148 3147222 3308618 4962927 6294444 6617236 9925854 19851708 21506017 43012034 64518051 86024068 129036102 258072204