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12808192 = 2125359
BaseRepresentation
bin110000110111…
…000000000000
3220002201112111
4300313000000
511234330232
61134305104
7213603445
oct60670000
926081474
1012808192
117258a91
124358194
132865b17
1419b59cc
1511d0047
hexc37000

12808192 has 52 divisors (see below), whose sum is σ = 26538840. Its totient is φ = 6176768.

The previous prime is 12808183. The next prime is 12808193. The reversal of 12808192 is 29180821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217059 + ... + 217117.

Almost surely, 212808192 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 12808192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269420).

12808192 is an abundant number, since it is smaller than the sum of its proper divisors (13730648).

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

12808192 is an frugal number, since it uses more digits than its factorization.

12808192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 12808192 is about 3578.8534476840. The cubic root of 12808192 is about 233.9713116509.

It can be divided in two parts, 1280819 and 2, that added together give a palindrome (1280821).

The spelling of 12808192 in words is "twelve million, eight hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 59 64 106 118 128 212 236 256 424 472 512 848 944 1024 1696 1888 2048 3127 3392 3776 4096 6254 6784 7552 12508 13568 15104 25016 27136 30208 50032 54272 60416 100064 108544 120832 200128 217088 241664 400256 800512 1601024 3202048 6404096 12808192