Search a number
-
+
26050332 = 2237113233
BaseRepresentation
bin110001101011…
…1111100011100
31211000111100010
41203113330130
523132102312
62330203220
7434265330
oct143277434
954014303
1026050332
1113783000
128883510
1355212c9
1436617c0
15244893c
hex18d7f1c

26050332 has 96 divisors (see below), whose sum is σ = 76737024. Its totient is φ = 6737280.

The previous prime is 26050319. The next prime is 26050351. The reversal of 26050332 is 23305062.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 26050299 and 26050308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111688 + ... + 111920.

It is an arithmetic number, because the mean of its divisors is an integer number (799344).

Almost surely, 226050332 is an apocalyptic number.

26050332 is a gapful number since it is divisible by the number (22) 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 26050332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38368512).

26050332 is an abundant number, since it is smaller than the sum of its proper divisors (50686692).

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

26050332 is a wasteful number, since it uses less digits than its factorization.

26050332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 26050332 is about 5103.9525859867. The cubic root of 26050332 is about 296.4406481722.

Adding to 26050332 its reverse (23305062), we get a palindrome (49355394).

The spelling of 26050332 in words is "twenty-six million, fifty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 233 242 308 363 462 466 484 699 726 847 924 932 1331 1398 1452 1631 1694 2541 2563 2662 2796 3262 3388 3993 4893 5082 5126 5324 6524 7689 7986 9317 9786 10164 10252 15378 15972 17941 18634 19572 27951 28193 30756 35882 37268 53823 55902 56386 71764 84579 107646 111804 112772 169158 197351 215292 310123 338316 394702 592053 620246 789404 930369 1184106 1240492 1860738 2170861 2368212 3721476 4341722 6512583 8683444 13025166 26050332