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26272256 = 2923297
BaseRepresentation
bin110010000111…
…0001000000000
31211102202202112
41210032020000
523211203011
62335034452
7436211333
oct144161000
954382675
1026272256
111391480a
12896ba28
13559b31a
1436bc61a
15248e58b
hex190e200

26272256 has 60 divisors (see below), whose sum is σ = 55440462. Its totient is φ = 12435456.

The previous prime is 26272249. The next prime is 26272261. The reversal of 26272256 is 65227262.

It can be written as a sum of positive squares in only one way, i.e., 22886656 + 3385600 = 4784^2 + 1840^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270800 + ... + 270896.

Almost surely, 226272256 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 26272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720231).

26272256 is an abundant number, since it is smaller than the sum of its proper divisors (29168206).

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

26272256 is an frugal number, since it uses more digits than its factorization.

26272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 26272256 is about 5125.6468860038. The cubic root of 26272256 is about 297.2800662464.

The spelling of 26272256 in words is "twenty-six million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 184 194 256 368 388 512 529 736 776 1058 1472 1552 2116 2231 2944 3104 4232 4462 5888 6208 8464 8924 11776 12416 16928 17848 24832 33856 35696 49664 51313 67712 71392 102626 135424 142784 205252 270848 285568 410504 571136 821008 1142272 1642016 3284032 6568064 13136128 26272256