Search a number
-
+
26291364 = 22311219953
BaseRepresentation
bin110010001001…
…0110010100100
31211110201222020
41210102302210
523212310424
62335303140
7436321131
oct144226244
954421866
1026291364
1113928100
12897aab0
1355a6c28
1436c5588
152495079
hex1912ca4

26291364 has 72 divisors (see below), whose sum is σ = 71053920. Its totient is φ = 7539840.

The previous prime is 26291359. The next prime is 26291381. The reversal of 26291364 is 46319262.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27112 + ... + 28064.

It is an arithmetic number, because the mean of its divisors is an integer number (986860).

Almost surely, 226291364 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 26291364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35526960).

26291364 is an abundant number, since it is smaller than the sum of its proper divisors (44762556).

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

26291364 is a wasteful number, since it uses less digits than its factorization.

26291364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 988 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 26291364 is about 5127.5105070590. The cubic root of 26291364 is about 297.3521200880.

It can be divided in two parts, 2629 and 1364, that added together give a palindrome (3993).

The spelling of 26291364 in words is "twenty-six million, two hundred ninety-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 627 726 836 953 1254 1452 1906 2299 2508 2859 3812 4598 5718 6897 9196 10483 11436 13794 18107 20966 27588 31449 36214 41932 54321 62898 72428 108642 115313 125796 199177 217284 230626 345939 398354 461252 597531 691878 796708 1195062 1383756 2190947 2390124 4381894 6572841 8763788 13145682 26291364