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26286128 = 2411233641
BaseRepresentation
bin110010001000…
…1100000110000
31211110110210022
41210101200300
523212124003
62335223012
7436266641
oct144214060
954413708
1026286128
1113924180
128977a68
1355a472b
1436c36c8
152493738
hex1911830

26286128 has 40 divisors (see below), whose sum is σ = 55884816. Its totient is φ = 11878400.

The previous prime is 26286121. The next prime is 26286137. The reversal of 26286128 is 82168262.

It is a Cunningham number, because it is equal to 51272-1.

It is not an unprimeable number, because it can be changed into a prime (26286121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40688 + ... + 41328.

Almost surely, 226286128 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 26286128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27942408).

26286128 is an abundant number, since it is smaller than the sum of its proper divisors (29598688).

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

26286128 is a wasteful number, since it uses less digits than its factorization.

26286128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 26286128 is about 5126.9999024771. Note that the first 4 decimals coincide. The cubic root of 26286128 is about 297.3323792704.

The spelling of 26286128 in words is "twenty-six million, two hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 233 466 641 932 1282 1864 2563 2564 3728 5126 5128 7051 10252 10256 14102 20504 28204 41008 56408 112816 149353 298706 597412 1194824 1642883 2389648 3285766 6571532 13143064 26286128