Search a number
-
+
26093628 = 223211131503
BaseRepresentation
bin110001110001…
…0100000111100
31211002200201200
41203202200330
523134444003
62331135500
7434535501
oct143424074
954080650
1026093628
1113802590
1288a4590
135537c22
1436734a8
1524566a3
hex18e283c

26093628 has 72 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 7831200.

The previous prime is 26093563. The next prime is 26093633. The reversal of 26093628 is 82639062.

26093628 is a `hidden beast` number, since 26 + 0 + 9 + 3 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26093592 and 26093601.

It is a congruent number.

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, 51625 + ... + 52127.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 226093628 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 26093628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

26093628 is an abundant number, since it is smaller than the sum of its proper divisors (46554948).

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

26093628 is a wasteful number, since it uses less digits than its factorization.

26093628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26093628 is about 5108.1922438373. The cubic root of 26093628 is about 296.6047867122.

The spelling of 26093628 in words is "twenty-six million, ninety-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 198 262 393 396 503 524 786 1006 1179 1441 1509 1572 2012 2358 2882 3018 4323 4527 4716 5533 5764 6036 8646 9054 11066 12969 16599 17292 18108 22132 25938 33198 49797 51876 65893 66396 99594 131786 197679 199188 263572 395358 593037 724823 790716 1186074 1449646 2174469 2372148 2899292 4348938 6523407 8697876 13046814 26093628