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12839288 = 23711191097
BaseRepresentation
bin110000111110…
…100101111000
3220011022012012
4300332211320
511241324123
61135105052
7214063220
oct60764570
926138165
1012839288
11727a390
124372188
132877017
1419c3080
1511d9378
hexc3e978

12839288 has 64 divisors (see below), whose sum is σ = 31622400. Its totient is φ = 4734720.

The previous prime is 12839287. The next prime is 12839293. The reversal of 12839288 is 88293821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12839287) by changing a digit.

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, 11156 + ... + 12252.

It is an arithmetic number, because the mean of its divisors is an integer number (494100).

Almost surely, 212839288 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 12839288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811200).

12839288 is an abundant number, since it is smaller than the sum of its proper divisors (18783112).

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

12839288 is a wasteful number, since it uses less digits than its factorization.

12839288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 12839288 is about 3583.1952221446. The cubic root of 12839288 is about 234.1605054602.

The spelling of 12839288 in words is "twelve million, eight hundred thirty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1097 1463 1672 2194 2926 4388 5852 7679 8776 11704 12067 15358 20843 24134 30716 41686 48268 61432 83372 84469 96536 145901 166744 168938 229273 291802 337876 458546 583604 675752 917092 1167208 1604911 1834184 3209822 6419644 12839288