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26314164 = 223217193173
BaseRepresentation
bin110010001100…
…0010110110100
31211111220020200
41210120112310
523214023124
62340000500
7436444452
oct144302664
954456220
1026314164
1113943248
128990130
1355b4416
1436cd9d2
15249bbc9
hex19185b4

26314164 has 144 divisors (see below), whose sum is σ = 77575680. Its totient is φ = 7464960.

The previous prime is 26314159. The next prime is 26314187. The reversal of 26314164 is 46141362.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 360432 + ... + 360504.

It is an arithmetic number, because the mean of its divisors is an integer number (538720).

It is a vampire number, since it can be written as 41616324 (with its own digits).

Almost surely, 226314164 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 26314164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787840).

26314164 is an abundant number, since it is smaller than the sum of its proper divisors (51261516).

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

26314164 is a wasteful number, since it uses less digits than its factorization.

26314164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 26314164 is about 5129.7333264021. The cubic root of 26314164 is about 297.4380503261.

The spelling of 26314164 in words is "twenty-six million, three hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 31 34 36 38 51 57 62 68 73 76 93 102 114 124 146 153 171 186 204 219 228 279 292 306 323 342 372 438 527 558 589 612 646 657 684 876 969 1054 1116 1178 1241 1292 1314 1387 1581 1767 1938 2108 2263 2356 2482 2628 2774 2907 3162 3534 3723 3876 4161 4526 4743 4964 5301 5548 5814 6324 6789 7068 7446 8322 9052 9486 10013 10602 11169 11628 12483 13578 14892 16644 18972 20026 20367 21204 22338 23579 24966 27156 30039 38471 40052 40734 42997 44676 47158 49932 60078 70737 76942 81468 85994 90117 94316 115413 120156 128991 141474 153884 171988 180234 212211 230826 257982 282948 346239 360468 386973 424422 461652 515964 692478 730949 773946 848844 1384956 1461898 1547892 2192847 2923796 4385694 6578541 8771388 13157082 26314164