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13838933 is a prime number
BaseRepresentation
bin110100110010…
…101001010101
3222001002110002
4310302221111
512020321213
61212341045
7225425513
oct64625125
928032402
1013838933
1178a2439
124774785
132b37024
141ba34b3
151335658
hexd32a55

13838933 has 2 divisors, whose sum is σ = 13838934. Its totient is φ = 13838932.

The previous prime is 13838921. The next prime is 13838941. The reversal of 13838933 is 33983831.

13838933 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., 10804369 + 3034564 = 3287^2 + 1742^2 .

It is a cyclic number.

It is not a de Polignac number, because 13838933 - 218 = 13576789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13838953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6919466 + 6919467.

It is an arithmetic number, because the mean of its divisors is an integer number (6919467).

Almost surely, 213838933 is an apocalyptic number.

It is an amenable number.

13838933 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838933 is an equidigital number, since it uses as much as digits as its factorization.

13838933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 38.

The square root of 13838933 is about 3720.0716390951. The cubic root of 13838933 is about 240.0863867259.

The spelling of 13838933 in words is "thirteen million, eight hundred thirty-eight thousand, nine hundred thirty-three".