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258104232 = 23344359157
BaseRepresentation
bin11110110001001…
…01101110101000
3122222200001110000
433120211232220
51012033313412
641340023000
76252564321
oct1730455650
9588601400
10258104232
11122769591
1272531a60
134161c3c9
14263c9448
15179d54dc
hexf625ba8

258104232 has 160 divisors (see below), whose sum is σ = 757072800. Its totient is φ = 82083456.

The previous prime is 258104177. The next prime is 258104243. The reversal of 258104232 is 232401852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 258104196 and 258104205.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1643898 + ... + 1644054.

It is an arithmetic number, because the mean of its divisors is an integer number (4731705).

Almost surely, 2258104232 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 258104232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378536400).

258104232 is an abundant number, since it is smaller than the sum of its proper divisors (498968568).

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

258104232 is a wasteful number, since it uses less digits than its factorization.

258104232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 258104232 is about 16065.6226770082. The cubic root of 258104232 is about 636.6953946023.

The spelling of 258104232 in words is "two hundred fifty-eight million, one hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 59 72 81 86 108 118 129 157 162 172 177 216 236 258 314 324 344 354 387 471 472 516 531 628 648 708 774 942 1032 1062 1161 1256 1413 1416 1548 1593 1884 2124 2322 2537 2826 3096 3186 3483 3768 4239 4248 4644 4779 5074 5652 6372 6751 6966 7611 8478 9263 9288 9558 10148 11304 12717 12744 13502 13932 15222 16956 18526 19116 20253 20296 22833 25434 27004 27789 27864 30444 33912 37052 38232 40506 45666 50868 54008 55578 60759 60888 68499 74104 81012 83367 91332 101736 111156 121518 136998 162024 166734 182277 182664 205497 222312 243036 250101 273996 333468 364554 398309 410994 486072 500202 546831 547992 666936 729108 750303 796618 821988 1000404 1093662 1194927 1458216 1500606 1593236 1643976 2000808 2187324 2389854 3001212 3186472 3584781 4374648 4779708 6002424 7169562 9559416 10754343 14339124 21508686 28678248 32263029 43017372 64526058 86034744 129052116 258104232