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26793396 = 2233726183
BaseRepresentation
bin110011000110…
…1010110110100
31212102020122000
41212031112310
523324342041
62354135300
7443511600
oct146152664
955366560
1026793396
1114140303
128b81530
1357215a6
1437b6500
152543bb6
hex198d5b4

26793396 has 144 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 7439040.

The previous prime is 26793391. The next prime is 26793397. The reversal of 26793396 is 69339762.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26793391) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 322771 + ... + 322853.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 226793396 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 26793396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

26793396 is an abundant number, since it is smaller than the sum of its proper divisors (56326284).

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

26793396 is a wasteful number, since it uses less digits than its factorization.

26793396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 26793396 is about 5176.2337659731. The cubic root of 26793396 is about 299.2328398901.

The spelling of 26793396 in words is "twenty-six million, seven hundred ninety-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 61 63 83 84 98 108 122 126 147 166 183 189 196 244 249 252 294 332 366 378 427 441 498 549 581 588 732 747 756 854 882 996 1098 1162 1281 1323 1494 1647 1708 1743 1764 2196 2241 2324 2562 2646 2988 2989 3294 3486 3843 4067 4482 5063 5124 5229 5292 5978 6588 6972 7686 8134 8964 8967 10126 10458 11529 11956 12201 15189 15372 15687 16268 17934 20252 20916 23058 24402 26901 30378 31374 35441 35868 36603 45567 46116 48804 53802 60756 62748 70882 73206 80703 91134 106323 107604 109809 136701 141764 146412 161406 182268 212646 219618 248087 273402 318969 322812 425292 439236 496174 546804 637938 744261 956907 992348 1275876 1488522 1913814 2232783 2977044 3827628 4465566 6698349 8931132 13396698 26793396