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13802849 is a prime number
BaseRepresentation
bin110100101001…
…110101100001
3221222020221122
4310221311201
512013142344
61211502025
7225215354
oct64516541
927866848
1013802849
117878315
124757915
132b23788
141b9429b
151329aee
hexd29d61

13802849 has 2 divisors, whose sum is σ = 13802850. Its totient is φ = 13802848.

The previous prime is 13802807. The next prime is 13802851. The reversal of 13802849 is 94820831.

It is a happy number.

13802849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12285025 + 1517824 = 3505^2 + 1232^2 .

It is a cyclic number.

It is not a de Polignac number, because 13802849 - 212 = 13798753 is a prime.

Together with 13802851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13802149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6901424 + 6901425.

It is an arithmetic number, because the mean of its divisors is an integer number (6901425).

Almost surely, 213802849 is an apocalyptic number.

It is an amenable number.

13802849 is a deficient number, since it is larger than the sum of its proper divisors (1).

13802849 is an equidigital number, since it uses as much as digits as its factorization.

13802849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 13802849 is about 3715.2185669217. The cubic root of 13802849 is about 239.8775359009.

The spelling of 13802849 in words is "thirteen million, eight hundred two thousand, eight hundred forty-nine".