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12842352 = 2432101883
BaseRepresentation
bin110000111111…
…010101110000
3220011110101200
4300333111300
511241423402
61135131200
7214105155
oct60772560
926143350
1012842352
117281716
124373b00
132878533
1419c422c
1511da21c
hexc3f570

12842352 has 60 divisors (see below), whose sum is σ = 36337704. Its totient is φ = 4233600.

The previous prime is 12842321. The next prime is 12842363. The reversal of 12842352 is 25324821.

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 11 ways as a sum of consecutive naturals, for example, 14103 + ... + 14985.

Almost surely, 212842352 is an apocalyptic number.

12842352 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 12842352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168852).

12842352 is an abundant number, since it is smaller than the sum of its proper divisors (23495352).

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

12842352 is a wasteful number, since it uses less digits than its factorization.

12842352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

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

The square root of 12842352 is about 3583.6227480024. The cubic root of 12842352 is about 234.1791308628.

The spelling of 12842352 in words is "twelve million, eight hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 883 909 1212 1616 1766 1818 2424 2649 3532 3636 4848 5298 7064 7272 7947 10596 14128 14544 15894 21192 31788 42384 63576 89183 127152 178366 267549 356732 535098 713464 802647 1070196 1426928 1605294 2140392 3210588 4280784 6421176 12842352