Search a number
-
+
26384128 = 28234481
BaseRepresentation
bin110010010100…
…1011100000000
31211122110012221
41210221130000
523223243003
62341300424
7440155441
oct144513400
954573187
1026384128
1113990871
128a04714
13560a214
14370b2c8
1524b27bd
hex1929700

26384128 has 36 divisors (see below), whose sum is σ = 54967248. Its totient is φ = 12615680.

The previous prime is 26384107. The next prime is 26384161. The reversal of 26384128 is 82148362.

It is a super-2 number, since 2×263841282 = 1392244420640768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26384093 and 26384102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3648 + ... + 8128.

It is an arithmetic number, because the mean of its divisors is an integer number (1526868).

Almost surely, 226384128 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 26384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483624).

26384128 is an abundant number, since it is smaller than the sum of its proper divisors (28583120).

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

26384128 is an equidigital number, since it uses as much as digits as its factorization.

26384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4506 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 26384128 is about 5136.5482573417. The cubic root of 26384128 is about 297.7014260985.

The spelling of 26384128 in words is "twenty-six million, three hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 4481 5888 8962 17924 35848 71696 103063 143392 206126 286784 412252 573568 824504 1147136 1649008 3298016 6596032 13192064 26384128