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26728704 = 28341289
BaseRepresentation
bin110010111110…
…1100100000000
31212021221220000
41211331210000
523320304304
62352520000
7443122152
oct145754400
955257800
1026728704
11140a6742
128b50000
1356cb002
14379aad2
15252e939
hex197d900

26728704 has 90 divisors (see below), whose sum is σ = 79761990. Its totient is φ = 8902656.

The previous prime is 26728699. The next prime is 26728721. The reversal of 26728704 is 40782762.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 1327104 = 5040^2 + 1152^2 .

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

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 20092 + ... + 21380.

Almost surely, 226728704 is an apocalyptic number.

26728704 is a gapful number since it is divisible by the number (24) 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 26728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39880995).

26728704 is an abundant number, since it is smaller than the sum of its proper divisors (53033286).

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

26728704 is an equidigital number, since it uses as much as digits as its factorization.

26728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 26728704 is about 5169.9810444527. The cubic root of 26728704 is about 298.9918156766.

The spelling of 26728704 in words is "twenty-six million, seven hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1289 1296 1728 2304 2578 2592 3456 3867 5156 5184 6912 7734 10312 10368 11601 15468 20624 20736 23202 30936 34803 41248 46404 61872 69606 82496 92808 104409 123744 139212 164992 185616 208818 247488 278424 329984 371232 417636 494976 556848 742464 835272 989952 1113696 1484928 1670544 2227392 2969856 3341088 4454784 6682176 8909568 13364352 26728704