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12442768 = 2413163367
BaseRepresentation
bin101111011101…
…110010010000
3212102011021021
4233131302100
511141132033
61122405224
7210522202
oct57356220
925364237
1012442768
117029488
124200814
1327686b0
14191c772
15115bb2d
hexbddc90

12442768 has 40 divisors (see below), whose sum is σ = 26192768. Its totient is φ = 5692032.

The previous prime is 12442763. The next prime is 12442813. The reversal of 12442768 is 86724421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12442763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33721 + ... + 34087.

Almost surely, 212442768 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 12442768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096384).

12442768 is an abundant number, since it is smaller than the sum of its proper divisors (13750000).

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

12442768 is a wasteful number, since it uses less digits than its factorization.

12442768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 12442768 is about 3527.4307930844. The cubic root of 12442768 is about 231.7247031819.

The spelling of 12442768 in words is "twelve million, four hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 326 367 652 734 1304 1468 2119 2608 2936 4238 4771 5872 8476 9542 16952 19084 33904 38168 59821 76336 119642 239284 478568 777673 957136 1555346 3110692 6221384 12442768