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12903852 = 22313181457
BaseRepresentation
bin110001001110…
…010110101100
3220021120202110
4301032112230
511300410402
61140324020
7214452363
oct61162654
926246673
1012903852
117313945
1243a3610
13289a520
1419dc7da
1511ed56c
hexc4e5ac

12903852 has 48 divisors (see below), whose sum is σ = 32675552. Its totient is φ = 3939840.

The previous prime is 12903829. The next prime is 12903859. The reversal of 12903852 is 25830921.

It is a happy number.

12903852 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12903859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28008 + ... + 28464.

Almost surely, 212903852 is an apocalyptic number.

12903852 is a gapful number since it is divisible by the number (12) 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 12903852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337776).

12903852 is an abundant number, since it is smaller than the sum of its proper divisors (19771700).

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

12903852 is a wasteful number, since it uses less digits than its factorization.

12903852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12903852 is about 3592.1932019311. The cubic root of 12903852 is about 234.5523513823.

The spelling of 12903852 in words is "twelve million, nine hundred three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 457 543 724 914 1086 1371 1828 2172 2353 2742 4706 5484 5941 7059 9412 11882 14118 17823 23764 28236 35646 71292 82717 165434 248151 330868 496302 992604 1075321 2150642 3225963 4301284 6451926 12903852