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12088248 = 2332361359
BaseRepresentation
bin101110000111…
…001110111000
3211202010221220
4232013032320
511043310443
61111032040
7204514464
oct56071670
924663856
1012088248
116907097
12406b620
132673213
1418694a4
1510dba83
hexb873b8

12088248 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3780480.

The previous prime is 12088231. The next prime is 12088249. The reversal of 12088248 is 84288021.

It is a super-2 number, since 2×120882482 = 292251479419008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088249) 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, 33493 + ... + 33851.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 212088248 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 12088248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12088248 is an abundant number, since it is smaller than the sum of its proper divisors (20052552).

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

12088248 is a wasteful number, since it uses less digits than its factorization.

12088248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 12088248 is about 3476.8157845937. The cubic root of 12088248 is about 229.5026936142.

The spelling of 12088248 in words is "twelve million, eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 359 366 488 552 718 732 1077 1403 1436 1464 2154 2806 2872 4209 4308 5612 8257 8418 8616 11224 16514 16836 21899 24771 33028 33672 43798 49542 65697 66056 87596 99084 131394 175192 198168 262788 503677 525576 1007354 1511031 2014708 3022062 4029416 6044124 12088248