Base | Representation |
---|---|
bin | 1000111010100… |
… | …1111010100001 |
3 | 2121100220211211 |
4 | 2032221322201 |
5 | 34033134004 |
6 | 3413310121 |
7 | 632601421 |
oct | 216517241 |
9 | 77326754 |
10 | 37396129 |
11 | 1a1222a1 |
12 | 10635341 |
13 | 79945b4 |
14 | 4d76481 |
15 | 343a504 |
hex | 23a9ea1 |
37396129 has 2 divisors, whose sum is σ = 37396130. Its totient is φ = 37396128.
The previous prime is 37396087. The next prime is 37396133. The reversal of 37396129 is 92169373.
37396129 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., 24059025 + 13337104 = 4905^2 + 3652^2 .
It is a cyclic number.
It is not a de Polignac number, because 37396129 - 217 = 37265057 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 37396091 and 37396100.
It is not a weakly prime, because it can be changed into another prime (37396829) 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 as a sum of consecutive naturals, namely, 18698064 + 18698065.
It is an arithmetic number, because the mean of its divisors is an integer number (18698065).
Almost surely, 237396129 is an apocalyptic number.
It is an amenable number.
37396129 is a deficient number, since it is larger than the sum of its proper divisors (1).
37396129 is an equidigital number, since it uses as much as digits as its factorization.
37396129 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 61236, while the sum is 40.
The square root of 37396129 is about 6115.2374442862. The cubic root of 37396129 is about 334.4071462849.
The spelling of 37396129 in words is "thirty-seven million, three hundred ninety-six thousand, one hundred twenty-nine".
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