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464129 is a prime number
BaseRepresentation
bin1110001010100000001
3212120122222
41301110001
5104323004
613540425
73642101
oct1612401
9776588
10464129
11297786
121a4715
13133343
14c1201
15927be
hex71501

464129 has 2 divisors, whose sum is σ = 464130. Its totient is φ = 464128.

The previous prime is 464119. The next prime is 464131. The reversal of 464129 is 921464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 442225 + 21904 = 665^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 464129 - 28 = 463873 is a prime.

Together with 464131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 464098 and 464107.

It is not a weakly prime, because it can be changed into another prime (464119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232064 + 232065.

It is an arithmetic number, because the mean of its divisors is an integer number (232065).

2464129 is an apocalyptic number.

It is an amenable number.

464129 is a deficient number, since it is larger than the sum of its proper divisors (1).

464129 is an equidigital number, since it uses as much as digits as its factorization.

464129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

The square root of 464129 is about 681.2701373171. The cubic root of 464129 is about 77.4247066174.

The spelling of 464129 in words is "four hundred sixty-four thousand, one hundred twenty-nine".