Search a number
-
+
26384238 = 2331741701
BaseRepresentation
bin110010010100…
…1011101101110
31211122110101000
41210221131232
523223243423
62341301130
7440155656
oct144513556
954573330
1026384238
1113990961
128a047a6
13560a29a
14370b366
1524b2843
hex192976e

26384238 has 64 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 8064000.

The previous prime is 26384233. The next prime is 26384251. The reversal of 26384238 is 83248362.

It is a super-2 number, since 2×263842382 = 1392256029681288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26384231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37288 + ... + 37988.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 226384238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26384238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

26384238 is an abundant number, since it is smaller than the sum of its proper divisors (37301202).

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

26384238 is a wasteful number, since it uses less digits than its factorization.

26384238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 26384238 is about 5136.5589649103. The cubic root of 26384238 is about 297.7018398209.

The spelling of 26384238 in words is "twenty-six million, three hundred eighty-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 153 246 306 369 459 697 701 738 918 1107 1394 1402 2091 2103 2214 4182 4206 6273 6309 11917 12546 12618 18819 18927 23834 28741 35751 37638 37854 57482 71502 86223 107253 172446 214506 258669 321759 488597 517338 643518 776007 977194 1465791 1552014 2931582 4397373 8794746 13192119 26384238