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12926256 = 2437173173
BaseRepresentation
bin110001010011…
…110100110000
3220022201111020
4301103310300
511302120011
61141015440
7214604610
oct61236460
926281436
1012926256
117329762
1243b4580
1328a7795
141a06a40
151205006
hexc53d30

12926256 has 160 divisors (see below), whose sum is σ = 42283008. Its totient is φ = 3317760.

The previous prime is 12926231. The next prime is 12926267. The reversal of 12926256 is 65262921.

12926256 = 6202 + 6212 + ... + 6512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177036 + ... + 177108.

Almost surely, 212926256 is an apocalyptic number.

12926256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12926256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141504).

12926256 is an abundant number, since it is smaller than the sum of its proper divisors (29356752).

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

12926256 is a wasteful number, since it uses less digits than its factorization.

12926256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 12926256 is about 3595.3102786825. The cubic root of 12926256 is about 234.6880181732.

The spelling of 12926256 in words is "twelve million, nine hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 34 42 48 51 56 62 68 73 84 93 102 112 119 124 136 146 168 186 204 217 219 238 248 272 292 336 357 372 408 434 438 476 496 511 527 584 651 714 744 816 868 876 952 1022 1054 1168 1241 1302 1428 1488 1533 1581 1736 1752 1904 2044 2108 2263 2482 2604 2856 3066 3162 3472 3504 3689 3723 4088 4216 4526 4964 5208 5712 6132 6324 6789 7378 7446 8176 8432 8687 9052 9928 10416 11067 12264 12648 13578 14756 14892 15841 17374 18104 19856 22134 24528 25296 26061 27156 29512 29784 31682 34748 36208 38471 44268 47523 52122 54312 59024 59568 63364 69496 76942 88536 95046 104244 108624 115413 126728 138992 153884 177072 190092 208488 230826 253456 269297 307768 380184 416976 461652 538594 615536 760368 807891 923304 1077188 1615782 1846608 2154376 3231564 4308752 6463128 12926256