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12355252 = 2272132373
BaseRepresentation
bin101111001000…
…011010110100
3212020201012221
4233020122310
511130332002
61120452124
7210006100
oct57103264
925221187
1012355252
116a79758
12417a044
132737900
1418d8900
151140c37
hexbc86b4

12355252 has 54 divisors (see below), whose sum is σ = 27308358. Its totient is φ = 4874688.

The previous prime is 12355223. The next prime is 12355253. The reversal of 12355252 is 25255321.

It is a happy number.

12355252 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 12348196 = 84^2 + 3514^2 .

12355252 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355253) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32938 + ... + 33310.

Almost surely, 212355252 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 12355252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654179).

12355252 is an abundant number, since it is smaller than the sum of its proper divisors (14953106).

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

12355252 is a wasteful number, since it uses less digits than its factorization.

12355252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its digits is 3000, while the sum is 25.

The square root of 12355252 is about 3515.0038406807. The cubic root of 12355252 is about 231.1801472000.

The spelling of 12355252 in words is "twelve million, three hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 373 637 676 746 1183 1274 1492 2366 2548 2611 4732 4849 5222 8281 9698 10444 16562 18277 19396 33124 33943 36554 63037 67886 73108 126074 135772 237601 252148 441259 475202 882518 950404 1765036 3088813 6177626 12355252