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2506337 is a prime number
BaseRepresentation
bin1001100011111001100001
311201100001022
421203321201
51120200322
6125415225
730206051
oct11437141
94640038
102506337
111462059
12a0a515
13699a52
14493561
15347942
hex263e61

2506337 has 2 divisors, whose sum is σ = 2506338. Its totient is φ = 2506336.

The previous prime is 2506321. The next prime is 2506363. The reversal of 2506337 is 7336052.

2506337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2506363) can be obtained adding 2506337 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2085136 + 421201 = 1444^2 + 649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2506337 - 24 = 2506321 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2506367) 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, 1253168 + 1253169.

It is an arithmetic number, because the mean of its divisors is an integer number (1253169).

22506337 is an apocalyptic number.

It is an amenable number.

2506337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506337 is an equidigital number, since it uses as much as digits as its factorization.

2506337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 2506337 is about 1583.1414971505. The cubic root of 2506337 is about 135.8354591694.

The spelling of 2506337 in words is "two million, five hundred six thousand, three hundred thirty-seven".