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12809216 = 21071787
BaseRepresentation
bin110000110111…
…010000000000
3220002202221102
4300313100000
511234343331
61134313532
7213606440
oct60672000
926082842
1012809216
117259832
1243588a8
132866424
1419b6120
1511d04cb
hexc37400

12809216 has 44 divisors (see below), whose sum is σ = 29280288. Its totient is φ = 5486592.

The previous prime is 12809191. The next prime is 12809221. The reversal of 12809216 is 61290821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6275 + ... + 8061.

Almost surely, 212809216 is an apocalyptic number.

12809216 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 12809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640144).

12809216 is an abundant number, since it is smaller than the sum of its proper divisors (16471072).

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

12809216 is an equidigital number, since it uses as much as digits as its factorization.

12809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 12809216 is about 3578.9965074026. The cubic root of 12809216 is about 233.9775467291.

The spelling of 12809216 in words is "twelve million, eight hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1787 1792 3574 3584 7148 7168 12509 14296 25018 28592 50036 57184 100072 114368 200144 228736 400288 457472 800576 914944 1601152 1829888 3202304 6404608 12809216