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12052524 = 223111741131
BaseRepresentation
bin101101111110…
…100000101100
3211200022221210
4231332200230
511041140044
61110154420
7204305361
oct55764054
924608853
1012052524
116892270
124052a10
13265cb93
14185a468
1510d11b9
hexb7e82c

12052524 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 3328000.

The previous prime is 12052489. The next prime is 12052543. The reversal of 12052524 is 42525021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12052524.

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 31 ways as a sum of consecutive naturals, for example, 91939 + ... + 92069.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 212052524 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 12052524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

12052524 is an abundant number, since it is smaller than the sum of its proper divisors (21477588).

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

12052524 is a wasteful number, since it uses less digits than its factorization.

12052524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 12052524 is about 3471.6745239149. The cubic root of 12052524 is about 229.2763899620.

Adding to 12052524 its reverse (42525021), we get a palindrome (54577545).

The spelling of 12052524 in words is "twelve million, fifty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 41 44 51 66 68 82 102 123 131 132 164 187 204 246 262 374 393 451 492 524 561 697 748 786 902 1122 1353 1394 1441 1572 1804 2091 2227 2244 2706 2788 2882 4182 4323 4454 5371 5412 5764 6681 7667 8364 8646 8908 10742 13362 15334 16113 17292 21484 23001 24497 26724 30668 32226 46002 48994 59081 64452 73491 91307 92004 97988 118162 146982 177243 182614 236324 273921 293964 354486 365228 547842 708972 1004377 1095684 2008754 3013131 4017508 6026262 12052524