Search a number
-
+
12779648 = 27717839
BaseRepresentation
bin110000110000…
…000010000000
3220001021101022
4300300002000
511232422043
61133525012
7213424310
oct60600200
926037338
1012779648
1172395a2
124343768
132855b2b
1419a9440
1511c6868
hexc30080

12779648 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 5148672.

The previous prime is 12779639. The next prime is 12779671. The reversal of 12779648 is 84697721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12779599 and 12779608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14813 + ... + 15651.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 212779648 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 12779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

12779648 is an abundant number, since it is smaller than the sum of its proper divisors (18065152).

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

12779648 is an equidigital number, since it uses as much as digits as its factorization.

12779648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 12779648 is about 3574.8633540319. The cubic root of 12779648 is about 233.7973749383.

The spelling of 12779648 in words is "twelve million, seven hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 839 896 952 1088 1678 1904 2176 3356 3808 5873 6712 7616 11746 13424 14263 15232 23492 26848 28526 46984 53696 57052 93968 99841 107392 114104 187936 199682 228208 375872 399364 456416 751744 798728 912832 1597456 1825664 3194912 6389824 12779648