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12438252 = 223341532
BaseRepresentation
bin101111011100…
…101011101100
3212101221002000
4233130223230
511141011002
61122332300
7210503061
oct57345354
925357060
1012438252
117026052
1241ba090
132766618
14191ac68
15115a61c
hexbdcaec

12438252 has 72 divisors (see below), whose sum is σ = 33668880. Its totient is φ = 3968640.

The previous prime is 12438247. The next prime is 12438263. The reversal of 12438252 is 25283421.

It is a super-2 number, since 2×124382522 = 309420225631008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3840) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234658 + ... + 234710.

Almost surely, 212438252 is an apocalyptic number.

12438252 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 12438252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834440).

12438252 is an abundant number, since it is smaller than the sum of its proper divisors (21230628).

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

12438252 is a wasteful number, since it uses less digits than its factorization.

12438252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 99 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12438252 is about 3526.7906090382. The cubic root of 12438252 is about 231.6966655998.

The spelling of 12438252 in words is "twelve million, four hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 53 54 82 106 108 123 159 164 212 246 318 369 477 492 636 738 954 1107 1431 1476 1908 2173 2214 2809 2862 4346 4428 5618 5724 6519 8427 8692 11236 13038 16854 19557 25281 26076 33708 39114 50562 58671 75843 78228 101124 115169 117342 151686 230338 234684 303372 345507 460676 691014 1036521 1382028 2073042 3109563 4146084 6219126 12438252