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12552849 = 3211812
BaseRepresentation
bin101111111000…
…101010010001
3212121202021100
4233320222101
511203142344
61125015013
7211461141
oct57705221
925552240
1012552849
1170a4161
124254469
1327a682a
14194a921
15117e569
hexbf8a91

12552849 has 9 divisors (see below), whose sum is σ = 18147259. Its totient is φ = 8361480.

The previous prime is 12552829. The next prime is 12552877. The reversal of 12552849 is 94825521.

The square root of 12552849 is 3543.

It is a perfect power (a square), and thus also a powerful number.

12552849 is a `hidden beast` number, since 125 + 528 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11512449 + 1040400 = 3393^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12552849 - 219 = 12028561 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12552829) 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 8 ways as a sum of consecutive naturals, for example, 10039 + ... + 11219.

Almost surely, 212552849 is an apocalyptic number.

12552849 is the 3543-rd square number.

12552849 is the 1772-nd centered octagonal number.

It is an amenable number.

12552849 is a deficient number, since it is larger than the sum of its proper divisors (5594410).

12552849 is an frugal number, since it uses more digits than its factorization.

12552849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 1184 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The cubic root of 12552849 is about 232.4060529212.

Multiplying 12552849 by its sum of digits (36), we get a square (451902564 = 212582).

The spelling of 12552849 in words is "twelve million, five hundred fifty-two thousand, eight hundred forty-nine".

Divisors: 1 3 9 1181 3543 10629 1394761 4184283 12552849