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26390232 = 23331129383
BaseRepresentation
bin110010010101…
…0111011011000
31211122202121000
41210222323120
523223441412
62341345000
7440212311
oct144527330
954582530
1026390232
1113995410
128a08160
13560cc2b
14370d608
1524b44dc
hex192aed8

26390232 has 128 divisors (see below), whose sum is σ = 82944000. Its totient is φ = 7701120.

The previous prime is 26390201. The next prime is 26390257. The reversal of 26390232 is 23209362.

26390232 is a `hidden beast` number, since 2 + 639 + 0 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26390196 and 26390205.

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 31 ways as a sum of consecutive naturals, for example, 68713 + ... + 69095.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 226390232 is an apocalyptic number.

26390232 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 26390232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472000).

26390232 is an abundant number, since it is smaller than the sum of its proper divisors (56553768).

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

26390232 is a wasteful number, since it uses less digits than its factorization.

26390232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 26390232 is about 5137.1423963133. The cubic root of 26390232 is about 297.7243821903.

Adding to 26390232 its reverse (23209362), we get a palindrome (49599594).

The spelling of 26390232 in words is "twenty-six million, three hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 383 396 522 594 638 696 766 783 792 957 1044 1149 1188 1276 1532 1566 1914 2088 2298 2376 2552 2871 3064 3132 3447 3828 4213 4596 5742 6264 6894 7656 8426 8613 9192 10341 11107 11484 12639 13788 16852 17226 20682 22214 22968 25278 27576 33321 33704 34452 37917 41364 44428 50556 66642 68904 75834 82728 88856 99963 101112 113751 122177 133284 151668 199926 227502 244354 266568 299889 303336 366531 399852 455004 488708 599778 733062 799704 910008 977416 1099593 1199556 1466124 2199186 2399112 2932248 3298779 4398372 6597558 8796744 13195116 26390232