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26824086 = 23219411913
BaseRepresentation
bin110011001010…
…0110110010110
31212110210201200
41212110312112
523331332321
62354533330
7444000222
oct146246626
955423650
1026824086
1114161373
128b97246
135732553
1437c3782
15254cd26
hex1994d96

26824086 has 48 divisors (see below), whose sum is σ = 62702640. Its totient is φ = 8259840.

The previous prime is 26824073. The next prime is 26824123. The reversal of 26824086 is 68042862.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 26824086.

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 23 ways as a sum of consecutive naturals, for example, 13066 + ... + 14978.

It is an arithmetic number, because the mean of its divisors is an integer number (1306305).

Almost surely, 226824086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26824086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31351320).

26824086 is an abundant number, since it is smaller than the sum of its proper divisors (35878554).

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

26824086 is a wasteful number, since it uses less digits than its factorization.

26824086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26824086 is about 5179.1974281736. The cubic root of 26824086 is about 299.3470465370.

The spelling of 26824086 in words is "twenty-six million, eight hundred twenty-four thousand, eighty-six".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 1913 2337 3826 4674 5739 7011 11478 14022 17217 34434 36347 72694 78433 109041 156866 218082 235299 327123 470598 654246 705897 1411794 1490227 2980454 4470681 8941362 13412043 26824086