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457826141 is a prime number
BaseRepresentation
bin11011010010011…
…101111101011101
31011220110222101202
4123102131331131
51414200414031
6113232445245
714226313043
oct3322357535
91156428352
10457826141
11215481613
121093a9825
1373b09c56
1444b38393
152a2d72cb
hex1b49df5d

457826141 has 2 divisors, whose sum is σ = 457826142. Its totient is φ = 457826140.

The previous prime is 457826101. The next prime is 457826153. The reversal of 457826141 is 141628754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368448025 + 89378116 = 19195^2 + 9454^2 .

It is a cyclic number.

It is not a de Polignac number, because 457826141 - 26 = 457826077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457826095 and 457826104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457826101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228913070 + 228913071.

It is an arithmetic number, because the mean of its divisors is an integer number (228913071).

Almost surely, 2457826141 is an apocalyptic number.

It is an amenable number.

457826141 is a deficient number, since it is larger than the sum of its proper divisors (1).

457826141 is an equidigital number, since it uses as much as digits as its factorization.

457826141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 53760, while the sum is 38.

The square root of 457826141 is about 21396.8722246968. The cubic root of 457826141 is about 770.7263293228.

The spelling of 457826141 in words is "four hundred fifty-seven million, eight hundred twenty-six thousand, one hundred forty-one".