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12650144 = 251347647
BaseRepresentation
bin110000010000…
…011010100000
3212210200201212
4300100122200
511214301034
61131045252
7212344613
oct60203240
925720655
1012650144
117160271
1242a0828
13280bbc0
14197417a
15119d2ce
hexc106a0

12650144 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 5705472.

The previous prime is 12650117. The next prime is 12650147. The reversal of 12650144 is 44105621.

It is a super-2 number, since 2×126501442 = 320052286441472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12650147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19229 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 212650144 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 12650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

12650144 is an abundant number, since it is smaller than the sum of its proper divisors (14783584).

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

12650144 is a wasteful number, since it uses less digits than its factorization.

12650144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12650144 is about 3556.7040922742. The cubic root of 12650144 is about 233.0049548579.

Adding to 12650144 its reverse (44105621), we get a palindrome (56755765).

The spelling of 12650144 in words is "twelve million, six hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 647 752 1222 1294 1504 2444 2588 4888 5176 8411 9776 10352 16822 19552 20704 30409 33644 60818 67288 121636 134576 243272 269152 395317 486544 790634 973088 1581268 3162536 6325072 12650144