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457874257 is a prime number
BaseRepresentation
bin11011010010101…
…001101101010001
31011220120102101211
4123102221231101
51414203434012
6113233500121
714226603241
oct3322515521
91156512354
10457874257
11215504785
12109411641
1373b25b19
1444b4bb21
152a2e66a7
hex1b4a9b51

457874257 has 2 divisors, whose sum is σ = 457874258. Its totient is φ = 457874256.

The previous prime is 457874189. The next prime is 457874269. The reversal of 457874257 is 752478754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388917841 + 68956416 = 19721^2 + 8304^2 .

It is a cyclic number.

It is not a de Polignac number, because 457874257 - 223 = 449485649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457874257.

It is not a weakly prime, because it can be changed into another prime (457874057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228937128 + 228937129.

It is an arithmetic number, because the mean of its divisors is an integer number (228937129).

Almost surely, 2457874257 is an apocalyptic number.

It is an amenable number.

457874257 is a deficient number, since it is larger than the sum of its proper divisors (1).

457874257 is an equidigital number, since it uses as much as digits as its factorization.

457874257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2195200, while the sum is 49.

The square root of 457874257 is about 21397.9965650993. The cubic root of 457874257 is about 770.7533286322.

The spelling of 457874257 in words is "four hundred fifty-seven million, eight hundred seventy-four thousand, two hundred fifty-seven".