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258103248 = 243131729839
BaseRepresentation
bin11110110001001…
…01011111010000
3122222200000002120
433120211133100
51012033300443
641340014240
76252561414
oct1730453720
9588600076
10258103248
11122768877
1272531380
134161bb20
14263c8d44
15179d5083
hexf6257d0

258103248 has 160 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 72081408.

The previous prime is 258103213. The next prime is 258103267. The reversal of 258103248 is 842301852.

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, 307213 + ... + 308051.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2258103248 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 258103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

258103248 is an abundant number, since it is smaller than the sum of its proper divisors (529346352).

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

258103248 is a wasteful number, since it uses less digits than its factorization.

258103248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 258103248 is about 16065.5920525824. The cubic root of 258103248 is about 636.6945854860.

The spelling of 258103248 in words is "two hundred fifty-eight million, one hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 29 34 39 48 51 52 58 68 78 87 102 104 116 136 156 174 204 208 221 232 272 312 348 377 408 442 464 493 624 663 696 754 816 839 884 986 1131 1326 1392 1479 1508 1678 1768 1972 2262 2517 2652 2958 3016 3356 3536 3944 4524 5034 5304 5916 6032 6409 6712 7888 9048 10068 10608 10907 11832 12818 13424 14263 18096 19227 20136 21814 23664 24331 25636 28526 32721 38454 40272 42789 43628 48662 51272 57052 65442 72993 76908 85578 87256 97324 102544 114104 130884 145986 153816 171156 174512 185419 194648 228208 261768 291972 307632 316303 342312 370838 389296 413627 523536 556257 583944 632606 684624 741676 827254 948909 1112514 1167888 1240881 1265212 1483352 1654508 1897818 2225028 2481762 2530424 2966704 3309016 3795636 4450056 4963524 5060848 5377151 6618032 7591272 8900112 9927048 10754302 15182544 16131453 19854096 21508604 32262906 43017208 64525812 86034416 129051624 258103248