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12903648 = 253139967
BaseRepresentation
bin110001001110…
…010011100000
3220021120110220
4301032103200
511300404043
61140323040
7214451652
oct61162340
926246426
1012903648
11731377a
1243a3480
13289a3c4
1419dc6d2
1511ed483
hexc4e4e0

12903648 has 48 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 4265856.

The previous prime is 12903647. The next prime is 12903703. The reversal of 12903648 is 84630921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12861 + ... + 13827.

It is an arithmetic number, because the mean of its divisors is an integer number (711480).

Almost surely, 212903648 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 12903648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

12903648 is an abundant number, since it is smaller than the sum of its proper divisors (21247392).

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

12903648 is a wasteful number, since it uses less digits than its factorization.

12903648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12903648 is about 3592.1648069096. The cubic root of 12903648 is about 234.5511153449.

The spelling of 12903648 in words is "twelve million, nine hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 967 1112 1668 1934 2224 2901 3336 3868 4448 5802 6672 7736 11604 13344 15472 23208 30944 46416 92832 134413 268826 403239 537652 806478 1075304 1612956 2150608 3225912 4301216 6451824 12903648