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457723081 is a prime number
BaseRepresentation
bin11011010010000…
…100110011001001
31011220021202000201
4123102010303021
51414134114311
6113230332201
714225403424
oct3322046311
91156252021
10457723081
11215411142
1210935a061
1373aa207a
1444b0c9bb
152a2b69c1
hex1b484cc9

457723081 has 2 divisors, whose sum is σ = 457723082. Its totient is φ = 457723080.

The previous prime is 457723051. The next prime is 457723109. The reversal of 457723081 is 180327754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299843856 + 157879225 = 17316^2 + 12565^2 .

It is a cyclic number.

It is not a de Polignac number, because 457723081 - 219 = 457198793 is a prime.

It is a super-2 number, since 2×4577230812 = 419020837760265122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457723081.

It is not a weakly prime, because it can be changed into another prime (457723051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228861540 + 228861541.

It is an arithmetic number, because the mean of its divisors is an integer number (228861541).

Almost surely, 2457723081 is an apocalyptic number.

It is an amenable number.

457723081 is a deficient number, since it is larger than the sum of its proper divisors (1).

457723081 is an equidigital number, since it uses as much as digits as its factorization.

457723081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 457723081 is about 21394.4637932340. The cubic root of 457723081 is about 770.6684929454.

The spelling of 457723081 in words is "four hundred fifty-seven million, seven hundred twenty-three thousand, eighty-one".