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412540537 is a prime number
BaseRepresentation
bin11000100101101…
…101111001111001
31001202021020020011
4120211231321321
51321102244122
6104534101521
713136352043
oct3045557171
91052236204
10412540537
111a19608a2
12b61aa8a1
1367612636
143cb0aa93
152633e377
hex1896de79

412540537 has 2 divisors, whose sum is σ = 412540538. Its totient is φ = 412540536.

The previous prime is 412540519. The next prime is 412540561. The reversal of 412540537 is 735045214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234824976 + 177715561 = 15324^2 + 13331^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412540537 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 412540499 and 412540508.

It is not a weakly prime, because it can be changed into another prime (412540517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206270268 + 206270269.

It is an arithmetic number, because the mean of its divisors is an integer number (206270269).

Almost surely, 2412540537 is an apocalyptic number.

It is an amenable number.

412540537 is a deficient number, since it is larger than the sum of its proper divisors (1).

412540537 is an equidigital number, since it uses as much as digits as its factorization.

412540537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 412540537 is about 20311.0939390275. The cubic root of 412540537 is about 744.4271602078.

The spelling of 412540537 in words is "four hundred twelve million, five hundred forty thousand, five hundred thirty-seven".