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26806986 = 23219103761
BaseRepresentation
bin110011001000…
…0101011001010
31212102221021100
41212100223022
523330310421
62354322230
7443566323
oct146205312
955387240
1026806986
111414a538
128b89376
13572782b
1437bb44a
152547c26
hex1990aca

26806986 has 48 divisors (see below), whose sum is σ = 61813440. Its totient is φ = 8372160.

The previous prime is 26806979. The next prime is 26806993. The reversal of 26806986 is 68960862.

26806986 = 5562 + 5572 + ... + 6312.

It is an interprime number because it is at equal distance from previous prime (26806979) and next prime (26806993).

It is a super-2 number, since 2×268069862 = 1437228996808392, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 34846 + ... + 35606.

It is an arithmetic number, because the mean of its divisors is an integer number (1287780).

Almost surely, 226806986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26806986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30906720).

26806986 is an abundant number, since it is smaller than the sum of its proper divisors (35006454).

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

26806986 is a wasteful number, since it uses less digits than its factorization.

26806986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 26806986 is about 5177.5463300679. The cubic root of 26806986 is about 299.2834230879.

The spelling of 26806986 in words is "twenty-six million, eight hundred six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 618 761 927 1522 1854 1957 2283 3914 4566 5871 6849 11742 13698 14459 17613 28918 35226 43377 78383 86754 130131 156766 235149 260262 470298 705447 1410894 1489277 2978554 4467831 8935662 13403493 26806986