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26816328 = 23327211691
BaseRepresentation
bin110011001001…
…0111101001000
31212110102002100
41212102331020
523331110303
62354433400
7443635500
oct146227510
955412070
1026816328
1114156560
128b92860
13572bb66
1437c0a00
15254a8a3
hex1992f48

26816328 has 144 divisors (see below), whose sum is σ = 92298960. Its totient is φ = 6955200.

The previous prime is 26816299. The next prime is 26816347. The reversal of 26816328 is 82361862.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26816292 and 26816301.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38463 + ... + 39153.

It is an arithmetic number, because the mean of its divisors is an integer number (640965).

Almost surely, 226816328 is an apocalyptic number.

26816328 is a gapful number since it is divisible by the number (28) 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 26816328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46149480).

26816328 is an abundant number, since it is smaller than the sum of its proper divisors (65482632).

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

26816328 is a wasteful number, since it uses less digits than its factorization.

26816328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 714 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 26816328 is about 5178.4484162730. The cubic root of 26816328 is about 299.3181849346.

It can be divided in two parts, 2681 and 6328, that added together give a palindrome (9009).

The spelling of 26816328 in words is "twenty-six million, eight hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 691 693 792 882 924 1078 1176 1382 1386 1617 1764 1848 2073 2156 2764 2772 3234 3528 4146 4312 4837 4851 5528 5544 6219 6468 7601 8292 9674 9702 12438 12936 14511 15202 16584 19348 19404 22803 24876 29022 30404 33859 38696 38808 43533 45606 49752 53207 58044 60808 67718 68409 87066 91212 101577 106414 116088 135436 136818 159621 174132 182424 203154 212828 270872 273636 304731 319242 348264 372449 406308 425656 478863 547272 609462 638484 744898 812616 957726 1117347 1218924 1276968 1489796 1915452 2234694 2437848 2979592 3352041 3830904 4469388 6704082 8938776 13408164 26816328