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456074681 is a prime number
BaseRepresentation
bin11011001011110…
…010010110111001
31011210011222211212
4123023302112321
51413223342211
6113131132505
714205366536
oct3313622671
91153158755
10456074681
11214495727
121088a4135
137364599a
14447ddd8d
152a08d38b
hex1b2f25b9

456074681 has 2 divisors, whose sum is σ = 456074682. Its totient is φ = 456074680.

The previous prime is 456074629. The next prime is 456074687. The reversal of 456074681 is 186470654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281702656 + 174372025 = 16784^2 + 13205^2 .

It is a cyclic number.

It is not a de Polignac number, because 456074681 - 214 = 456058297 is a prime.

It is a super-2 number, since 2×4560746812 = 416008229298503522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (456074687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228037340 + 228037341.

It is an arithmetic number, because the mean of its divisors is an integer number (228037341).

Almost surely, 2456074681 is an apocalyptic number.

It is an amenable number.

456074681 is a deficient number, since it is larger than the sum of its proper divisors (1).

456074681 is an equidigital number, since it uses as much as digits as its factorization.

456074681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 456074681 is about 21355.9050615983. The cubic root of 456074681 is about 769.7422429548.

The spelling of 456074681 in words is "four hundred fifty-six million, seventy-four thousand, six hundred eighty-one".