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12375252 = 22321773277
BaseRepresentation
bin101111001101…
…010011010100
3212021201122200
4233031103110
511132002002
61121124500
7210121311
oct57152324
925251580
1012375252
116a9278a
124189730
132743a46
141901d08
151146b1c
hexbcd4d4

12375252 has 72 divisors (see below), whose sum is σ = 33696936. Its totient is φ = 3815424.

The previous prime is 12375221. The next prime is 12375263. The reversal of 12375252 is 25257321.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 10536516 = 1356^2 + 3246^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44538 + ... + 44814.

It is an arithmetic number, because the mean of its divisors is an integer number (468013).

Almost surely, 212375252 is an apocalyptic number.

12375252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12375252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848468).

12375252 is an abundant number, since it is smaller than the sum of its proper divisors (21321684).

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

12375252 is a wasteful number, since it uses less digits than its factorization.

12375252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 12375252 is about 3517.8476374056. The cubic root of 12375252 is about 231.3048205069.

The spelling of 12375252 in words is "twelve million, three hundred seventy-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 277 292 306 438 554 612 657 831 876 1108 1241 1314 1662 2482 2493 2628 3324 3723 4709 4964 4986 7446 9418 9972 11169 14127 14892 18836 20221 22338 28254 40442 42381 44676 56508 60663 80884 84762 121326 169524 181989 242652 343757 363978 687514 727956 1031271 1375028 2062542 3093813 4125084 6187626 12375252