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12523296 = 253731787
BaseRepresentation
bin101111110001…
…011100100000
3212120020201210
4233301130200
511201221141
61124230120
7211306032
oct57613440
925506653
1012523296
117083a35
12423b340
132796246
14193dc52
151175916
hexbf1720

12523296 has 48 divisors (see below), whose sum is σ = 33342624. Its totient is φ = 4114944.

The previous prime is 12523283. The next prime is 12523321. The reversal of 12523296 is 69232521.

12523296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6115 + ... + 7901.

It is an arithmetic number, because the mean of its divisors is an integer number (694638).

Almost surely, 212523296 is an apocalyptic number.

12523296 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 12523296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671312).

12523296 is an abundant number, since it is smaller than the sum of its proper divisors (20819328).

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

12523296 is a wasteful number, since it uses less digits than its factorization.

12523296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1865 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 12523296 is about 3538.8269242787. The cubic root of 12523296 is about 232.2235261465.

The spelling of 12523296 in words is "twelve million, five hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 1787 2336 3504 3574 5361 7008 7148 10722 14296 21444 28592 42888 57184 85776 130451 171552 260902 391353 521804 782706 1043608 1565412 2087216 3130824 4174432 6261648 12523296