Search a number
-
+
26369244 = 223211173917
BaseRepresentation
bin110010010010…
…1110011011100
31211121200210200
41210211303130
523222303434
62341103500
7440064156
oct144456334
954550720
1026369244
1113980670
1289b7b90
135603505
143705ad6
1524ad199
hex1925cdc

26369244 has 72 divisors (see below), whose sum is σ = 77012208. Its totient is φ = 7518720.

The previous prime is 26369237. The next prime is 26369297. The reversal of 26369244 is 44296362.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 26369199 and 26369208.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4774 + ... + 8690.

It is an arithmetic number, because the mean of its divisors is an integer number (1069614).

Almost surely, 226369244 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 26369244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38506104).

26369244 is an abundant number, since it is smaller than the sum of its proper divisors (50642964).

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

26369244 is a wasteful number, since it uses less digits than its factorization.

26369244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3950 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 26369244 is about 5135.0992200736. The cubic root of 26369244 is about 297.6454350939.

The spelling of 26369244 in words is "twenty-six million, three hundred sixty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 3917 6732 7834 11751 15668 23502 35253 43087 47004 66589 70506 86174 129261 133178 141012 172348 199767 258522 266356 387783 399534 517044 599301 732479 775566 799068 1198602 1464958 1551132 2197437 2397204 2929916 4394874 6592311 8789748 13184622 26369244