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38129137 is a prime number
BaseRepresentation
bin1001000101110…
…0110111110001
32122202011100021
42101130313301
534230113022
63441123441
7642043444
oct221346761
978664307
1038129137
111a582a92
1210929581
137b90127
1450c765b
1535327c7
hex245cdf1

38129137 has 2 divisors, whose sum is σ = 38129138. Its totient is φ = 38129136.

The previous prime is 38129107. The next prime is 38129167. The reversal of 38129137 is 73192183.

It is a balanced prime because it is at equal distance from previous prime (38129107) and next prime (38129167).

It can be written as a sum of positive squares in only one way, i.e., 29550096 + 8579041 = 5436^2 + 2929^2 .

It is an emirp because it is prime and its reverse (73192183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38129137 - 215 = 38096369 is a prime.

It is not a weakly prime, because it can be changed into another prime (38129107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19064568 + 19064569.

It is an arithmetic number, because the mean of its divisors is an integer number (19064569).

Almost surely, 238129137 is an apocalyptic number.

It is an amenable number.

38129137 is a deficient number, since it is larger than the sum of its proper divisors (1).

38129137 is an equidigital number, since it uses as much as digits as its factorization.

38129137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 34.

The square root of 38129137 is about 6174.8795129946. The cubic root of 38129137 is about 336.5779481726.

The spelling of 38129137 in words is "thirty-eight million, one hundred twenty-nine thousand, one hundred thirty-seven".