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38368129 is a prime number
BaseRepresentation
bin1001001001011…
…1001110000001
32200012022011211
42102113032001
534310240004
63450210121
7644060302
oct222271601
980168154
1038368129
111a7265a8
1210a23941
137c44b47
14514a7a9
15357d504
hex2497381

38368129 has 2 divisors, whose sum is σ = 38368130. Its totient is φ = 38368128.

The previous prime is 38368103. The next prime is 38368139. The reversal of 38368129 is 92186383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32798529 + 5569600 = 5727^2 + 2360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38368129 is a prime.

It is a super-2 number, since 2×383681292 = 2944226645921282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38368091 and 38368100.

It is not a weakly prime, because it can be changed into another prime (38368139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19184064 + 19184065.

It is an arithmetic number, because the mean of its divisors is an integer number (19184065).

Almost surely, 238368129 is an apocalyptic number.

It is an amenable number.

38368129 is a deficient number, since it is larger than the sum of its proper divisors (1).

38368129 is an equidigital number, since it uses as much as digits as its factorization.

38368129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 40.

The square root of 38368129 is about 6194.2012398694. The cubic root of 38368129 is about 337.2797033333.

The spelling of 38368129 in words is "thirty-eight million, three hundred sixty-eight thousand, one hundred twenty-nine".