Search a number
-
+
26080768 = 29719383
BaseRepresentation
bin110001101111…
…1011000000000
31211002001002101
41203133120000
523134041033
62331000144
7434453140
oct143373000
954061071
1026080768
11137a395a
128899054
13553210c
14366c920
15245297d
hex18df600

26080768 has 80 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 10561536.

The previous prime is 26080763. The next prime is 26080777. The reversal of 26080768 is 86708062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26080763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67905 + ... + 68287.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 226080768 is an apocalyptic number.

26080768 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 26080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

26080768 is an abundant number, since it is smaller than the sum of its proper divisors (36772352).

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

26080768 is an equidigital number, since it uses as much as digits as its factorization.

26080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 26080768 is about 5106.9333263711. The cubic root of 26080768 is about 296.5560524088.

The spelling of 26080768 in words is "twenty-six million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 383 448 512 532 608 766 896 1064 1216 1532 1792 2128 2432 2681 3064 3584 4256 4864 5362 6128 7277 8512 9728 10724 12256 14554 17024 21448 24512 29108 34048 42896 49024 50939 58216 68096 85792 98048 101878 116432 171584 196096 203756 232864 343168 407512 465728 686336 815024 931456 1372672 1630048 1862912 3260096 3725824 6520192 13040384 26080768