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12189248 = 26732609
BaseRepresentation
bin101110011111…
…111001000000
3211221021111122
4232133321000
511110023443
61113131412
7205415111
oct56377100
924837448
1012189248
116975a65
1240b9b68
1326aa196
141894208
15110b968
hexb9fe40

12189248 has 28 divisors (see below), whose sum is σ = 24528780. Its totient is φ = 6008832.

The previous prime is 12189181. The next prime is 12189257. The reversal of 12189248 is 84298121.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 5798464 = 2528^2 + 2408^2 .

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 3 ways as a sum of consecutive naturals, for example, 3368 + ... + 5976.

Almost surely, 212189248 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 12189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264390).

12189248 is an abundant number, since it is smaller than the sum of its proper divisors (12339532).

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

12189248 is an equidigital number, since it uses as much as digits as its factorization.

12189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2684 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 12189248 is about 3491.3103557261. The cubic root of 12189248 is about 230.1401036749.

The spelling of 12189248 in words is "twelve million, one hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 2609 4672 5218 10436 20872 41744 83488 166976 190457 380914 761828 1523656 3047312 6094624 12189248