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13444256 = 257471277
BaseRepresentation
bin110011010010…
…010010100000
3221022001001102
4303102102200
511420204011
61200053532
7222163040
oct63222240
927261042
1013444256
117652961
1246042a8
132a294a7
141add720
1512a873b
hexcd24a0

13444256 has 48 divisors (see below), whose sum is σ = 30917376. Its totient is φ = 5634816.

The previous prime is 13444253. The next prime is 13444279. The reversal of 13444256 is 65244431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444253) 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, 9890 + ... + 11166.

It is an arithmetic number, because the mean of its divisors is an integer number (644112).

Almost surely, 213444256 is an apocalyptic number.

13444256 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 13444256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458688).

13444256 is an abundant number, since it is smaller than the sum of its proper divisors (17473120).

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

13444256 is a wasteful number, since it uses less digits than its factorization.

13444256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 13444256 is about 3666.6409696069. The cubic root of 13444256 is about 237.7819720213.

Adding to 13444256 its reverse (65244431), we get a palindrome (78688687).

It can be divided in two parts, 1344425 and 6, that added together give a palindrome (1344431).

The spelling of 13444256 in words is "thirteen million, four hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1277 1316 1504 2554 2632 5108 5264 8939 10216 10528 17878 20432 35756 40864 60019 71512 120038 143024 240076 286048 420133 480152 840266 960304 1680532 1920608 3361064 6722128 13444256