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427747841 is a prime number
BaseRepresentation
bin11001011111101…
…110101000000001
31002210212211201122
4121133232220001
51334000412331
6110240042025
713412540153
oct3137565001
91083784648
10427747841
111aa4a8314
12bb303315
136a808441
1440b48ad3
152784517b
hex197eea01

427747841 has 2 divisors, whose sum is σ = 427747842. Its totient is φ = 427747840.

The previous prime is 427747783. The next prime is 427747847. The reversal of 427747841 is 148747724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331786225 + 95961616 = 18215^2 + 9796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-427747841 is a prime.

It is a super-2 number, since 2×4277478412 = 365936430960322562, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 427747792 and 427747801.

It is not a weakly prime, because it can be changed into another prime (427747847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213873920 + 213873921.

It is an arithmetic number, because the mean of its divisors is an integer number (213873921).

Almost surely, 2427747841 is an apocalyptic number.

It is an amenable number.

427747841 is a deficient number, since it is larger than the sum of its proper divisors (1).

427747841 is an equidigital number, since it uses as much as digits as its factorization.

427747841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 351232, while the sum is 44.

The square root of 427747841 is about 20682.0656850325. The cubic root of 427747841 is about 753.4641767448.

The spelling of 427747841 in words is "four hundred twenty-seven million, seven hundred forty-seven thousand, eight hundred forty-one".