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12509896 = 23734797
BaseRepresentation
bin101111101110…
…001011001000
3212112120100111
4233232023020
511200304041
61124044104
7211222000
oct57561310
925476314
1012509896
117074963
124233634
132790109
141939000
151171981
hexbee2c8

12509896 has 64 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 5193216.

The previous prime is 12509869. The next prime is 12509911. The reversal of 12509896 is 69890521.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128920 + ... + 129016.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 212509896 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 12509896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

12509896 is an abundant number, since it is smaller than the sum of its proper divisors (15714104).

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

12509896 is an equidigital number, since it uses as much as digits as its factorization.

12509896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 12509896 is about 3536.9331347935. The cubic root of 12509896 is about 232.1406697433.

Subtracting 12509896 from its reverse (69890521), we obtain a square (57380625 = 75752).

The spelling of 12509896 in words is "twelve million, five hundred nine thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 97 98 188 194 196 329 343 376 388 392 658 679 686 776 1316 1358 1372 2303 2632 2716 2744 4559 4606 4753 5432 9118 9212 9506 16121 18236 18424 19012 31913 32242 33271 36472 38024 63826 64484 66542 127652 128968 133084 223391 255304 266168 446782 893564 1563737 1787128 3127474 6254948 12509896