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457284041 is a prime number
BaseRepresentation
bin11011010000011…
…001100111001001
31011212110102202222
4123100121213021
51414031042131
6113213103425
714221564424
oct3320314711
91155412688
10457284041
112151412a5
12109187b75
137397a296
1444a369bb
152a22b87b
hex1b4199c9

457284041 has 2 divisors, whose sum is σ = 457284042. Its totient is φ = 457284040.

The previous prime is 457284019. The next prime is 457284049. The reversal of 457284041 is 140482754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292546816 + 164737225 = 17104^2 + 12835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-457284041 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 457283992 and 457284010.

It is not a weakly prime, because it can be changed into another prime (457284049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228642020 + 228642021.

It is an arithmetic number, because the mean of its divisors is an integer number (228642021).

Almost surely, 2457284041 is an apocalyptic number.

It is an amenable number.

457284041 is a deficient number, since it is larger than the sum of its proper divisors (1).

457284041 is an equidigital number, since it uses as much as digits as its factorization.

457284041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 457284041 is about 21384.2007332516. The cubic root of 457284041 is about 770.4220101934.

The spelling of 457284041 in words is "four hundred fifty-seven million, two hundred eighty-four thousand, forty-one".