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12752256 = 273113019
BaseRepresentation
bin110000101001…
…010110000000
3212222212210210
4300221112000
511231033011
61133154120
7213251406
oct60512600
925885723
1012752256
11721aa60
12432b940
13284651a
14199d476
1511bd6a6
hexc29580

12752256 has 64 divisors (see below), whose sum is σ = 36964800. Its totient is φ = 3863040.

The previous prime is 12752251. The next prime is 12752273. The reversal of 12752256 is 65225721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12752251) 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, 2715 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (577575).

Almost surely, 212752256 is an apocalyptic number.

12752256 is a gapful number since it is divisible by the number (16) 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 12752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18482400).

12752256 is an abundant number, since it is smaller than the sum of its proper divisors (24212544).

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

12752256 is a wasteful number, since it uses less digits than its factorization.

12752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3035 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 12752256 is about 3571.0301034855. The cubic root of 12752256 is about 233.6302143942.

Adding to 12752256 its reverse (65225721), we get a palindrome (77977977).

The spelling of 12752256 in words is "twelve million, seven hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 3019 4224 6038 9057 12076 18114 24152 33209 36228 48304 66418 72456 96608 99627 132836 144912 193216 199254 265672 289824 386432 398508 531344 579648 797016 1062688 1159296 1594032 2125376 3188064 4250752 6376128 12752256