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258392856 = 233192371347
BaseRepresentation
bin11110110011011…
…00001100011000
3200000012201100210
433121230030120
51012122032411
641350131120
76255205641
oct1731541430
9600181323
10258392856
11122946417
1272650aa0
13416c08a7
14264626c8
1517a40ca6
hexf66c318

258392856 has 128 divisors (see below), whose sum is σ = 721612800. Its totient is φ = 76728960.

The previous prime is 258392831. The next prime is 258392863. The reversal of 258392856 is 658293852.

258392856 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, 744475 + ... + 744821.

It is an arithmetic number, because the mean of its divisors is an integer number (5637600).

Almost surely, 2258392856 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 258392856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360806400).

258392856 is an abundant number, since it is smaller than the sum of its proper divisors (463219944).

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

258392856 is a wasteful number, since it uses less digits than its factorization.

258392856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 258392856 is about 16074.6028255755. The cubic root of 258392856 is about 636.9326335326.

The spelling of 258392856 in words is "two hundred fifty-eight million, three hundred ninety-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 71 76 92 114 138 142 152 184 213 228 276 284 347 426 437 456 552 568 694 852 874 1041 1311 1349 1388 1633 1704 1748 2082 2622 2698 2776 3266 3496 4047 4164 4899 5244 5396 6532 6593 7981 8094 8328 9798 10488 10792 13064 13186 15962 16188 19596 19779 23943 24637 26372 31027 31924 32376 39192 39558 47886 49274 52744 62054 63848 73911 79116 93081 95772 98548 124108 147822 151639 158232 186162 191544 197096 248216 295644 303278 372324 454917 468103 566651 591288 606556 744648 909834 936206 1133302 1213112 1404309 1699953 1819668 1872412 2266604 2808618 3399906 3639336 3744824 4533208 5617236 6799812 10766369 11234472 13599624 21532738 32299107 43065476 64598214 86130952 129196428 258392856