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61000249 is a prime number
BaseRepresentation
bin1110100010110…
…0101000111001
311020210010121111
43220230220321
5111104001444
610015240321
71340331202
oct350545071
9136703544
1061000249
1131484432
12185190a1
13c83a32b
14815c5a9
15554e234
hex3a2ca39

61000249 has 2 divisors, whose sum is σ = 61000250. Its totient is φ = 61000248.

The previous prime is 61000231. The next prime is 61000271. The reversal of 61000249 is 94200016.

61000249 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 (61000271) can be obtained adding 61000249 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34012224 + 26988025 = 5832^2 + 5195^2 .

It is a cyclic number.

It is not a de Polignac number, because 61000249 - 217 = 60869177 is a prime.

It is not a weakly prime, because it can be changed into another prime (61000229) 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, 30500124 + 30500125.

It is an arithmetic number, because the mean of its divisors is an integer number (30500125).

Almost surely, 261000249 is an apocalyptic number.

It is an amenable number.

61000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

61000249 is an equidigital number, since it uses as much as digits as its factorization.

61000249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 61000249 is about 7810.2656164819. The cubic root of 61000249 is about 393.6502539312.

The spelling of 61000249 in words is "sixty-one million, two hundred forty-nine", and thus it is an aban number.