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26441064 = 23321324153
BaseRepresentation
bin110010011011…
…1010101101000
31211202100022200
41210313111220
523232103224
62342420200
7440513436
oct144672550
954670280
1026441064
1113a1a621
128a31660
13562a100
143723d56
1524c45c9
hex1937568

26441064 has 144 divisors (see below), whose sum is σ = 80933580. Its totient is φ = 7787520.

The previous prime is 26441059. The next prime is 26441071. The reversal of 26441064 is 46014462.

26441064 is a `hidden beast` number, since 2 + 644 + 10 + 6 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1340964 + 25100100 = 1158^2 + 5010^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498862 + ... + 498914.

Almost surely, 226441064 is an apocalyptic number.

26441064 is a gapful number since it is divisible by the number (24) 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 26441064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40466790).

26441064 is an abundant number, since it is smaller than the sum of its proper divisors (54492516).

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

26441064 is a wasteful number, since it uses less digits than its factorization.

26441064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 26441064 is about 5142.0875138410. The cubic root of 26441064 is about 297.9154152381.

It can be divided in two parts, 264 and 41064, that added together give a triangular number (41328 = T287).

The spelling of 26441064 in words is "twenty-six million, four hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 53 72 78 82 104 106 117 123 156 159 164 169 212 234 246 312 318 328 338 369 424 468 477 492 507 533 636 676 689 738 936 954 984 1014 1066 1272 1352 1378 1476 1521 1599 1908 2028 2067 2132 2173 2756 2952 3042 3198 3816 4056 4134 4264 4346 4797 5512 6084 6201 6396 6519 6929 8268 8692 8957 9594 12168 12402 12792 13038 13858 16536 17384 17914 19188 19557 20787 24804 26076 26871 27716 28249 35828 38376 39114 41574 49608 52152 53742 55432 56498 62361 71656 78228 80613 83148 84747 107484 112996 124722 156456 161226 166296 169494 214968 225992 249444 254241 322452 338988 367237 498888 508482 644904 677976 734474 1016964 1101711 1468948 2033928 2203422 2937896 3305133 4406844 6610266 8813688 13220532 26441064