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12442608 = 2432711217
BaseRepresentation
bin101111011101…
…101111110000
3212102011001100
4233131233300
511141130413
61122404400
7210521553
oct57355760
925364040
1012442608
117029352
124200700
1327685b9
14191c69a
15115ba73
hexbddbf0

12442608 has 60 divisors (see below), whose sum is σ = 35341488. Its totient is φ = 4085760.

The previous prime is 12442607. The next prime is 12442627. The reversal of 12442608 is 80624421.

12442608 is a `hidden beast` number, since 12 + 4 + 42 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9616 + ... + 10832.

Almost surely, 212442608 is an apocalyptic number.

12442608 is a gapful number since it is divisible by the number (18) 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 12442608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670744).

12442608 is an abundant number, since it is smaller than the sum of its proper divisors (22898880).

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

12442608 is a wasteful number, since it uses less digits than its factorization.

12442608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12442608 is about 3527.4081136154. The cubic root of 12442608 is about 231.7237099379.

The spelling of 12442608 in words is "twelve million, four hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1217 1278 1704 2434 2556 3408 3651 4868 5112 7302 9736 10224 10953 14604 19472 21906 29208 43812 58416 86407 87624 172814 175248 259221 345628 518442 691256 777663 1036884 1382512 1555326 2073768 3110652 4147536 6221304 12442608