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26393668 = 2274183277
BaseRepresentation
bin110010010101…
…1110001000100
31211122221022021
41210223301010
523224044133
62341412524
7440225320
oct144536104
954587267
1026393668
1113997a54
128a0a144
135611672
143710980
1524b552d
hex192bc44

26393668 has 48 divisors (see below), whose sum is σ = 54923904. Its totient is φ = 10863360.

The previous prime is 26393657. The next prime is 26393669. The reversal of 26393668 is 86639362.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26393669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95146 + ... + 95422.

It is an arithmetic number, because the mean of its divisors is an integer number (1144248).

Almost surely, 226393668 is an apocalyptic number.

26393668 is a gapful number since it is divisible by the number (28) 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 26393668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461952).

26393668 is an abundant number, since it is smaller than the sum of its proper divisors (28530236).

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

26393668 is a wasteful number, since it uses less digits than its factorization.

26393668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 26393668 is about 5137.4768125997. The cubic root of 26393668 is about 297.7373028368.

The spelling of 26393668 in words is "twenty-six million, three hundred ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 41 82 83 164 166 277 287 332 554 574 581 1108 1148 1162 1939 2324 3403 3878 6806 7756 11357 13612 22714 22991 23821 45428 45982 47642 79499 91964 95284 158998 160937 317996 321874 643748 942631 1885262 3770524 6598417 13196834 26393668