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12809088 = 273211119
BaseRepresentation
bin110000110111…
…001110000000
3220002202202200
4300313032000
511234342323
61134313200
7213606165
oct60671600
926082680
1012809088
117259726
124358800
132866356
1419b606c
1511d0443
hexc37380

12809088 has 48 divisors (see below), whose sum is σ = 36862800. Its totient is φ = 4269312.

The previous prime is 12809057. The next prime is 12809101. The reversal of 12809088 is 88090821.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4408 + ... + 6711.

It is an arithmetic number, because the mean of its divisors is an integer number (767975).

Almost surely, 212809088 is an apocalyptic number.

12809088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12809088 is an abundant number, since it is smaller than the sum of its proper divisors (24053712).

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

12809088 is a wasteful number, since it uses less digits than its factorization.

12809088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12809088 is about 3578.9786252505. The cubic root of 12809088 is about 233.9767673625.

The spelling of 12809088 in words is "twelve million, eight hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11119 22238 33357 44476 66714 88952 100071 133428 177904 200142 266856 355808 400284 533712 711616 800568 1067424 1423232 1601136 2134848 3202272 4269696 6404544 12809088