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464657021 is a prime number
BaseRepresentation
bin11011101100100…
…001101001111101
31012101100000121022
4123230201221331
51422423011041
6114035113525
714341343123
oct3354415175
91171300538
10464657021
11219317774
1210b7428a5
137535c1aa
14459d5913
152abd624b
hex1bb21a7d

464657021 has 2 divisors, whose sum is σ = 464657022. Its totient is φ = 464657020.

The previous prime is 464656979. The next prime is 464657029. The reversal of 464657021 is 120756464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 348232921 + 116424100 = 18661^2 + 10790^2 .

It is a cyclic number.

It is not a de Polignac number, because 464657021 - 226 = 397548157 is a prime.

It is a super-2 number, since 2×4646570212 = 431812294329188882, which contains 22 as substring.

It is a Chen prime.

It is equal to p24588026 and since 464657021 and 24588026 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (464657029) 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, 232328510 + 232328511.

It is an arithmetic number, because the mean of its divisors is an integer number (232328511).

Almost surely, 2464657021 is an apocalyptic number.

It is an amenable number.

464657021 is a deficient number, since it is larger than the sum of its proper divisors (1).

464657021 is an equidigital number, since it uses as much as digits as its factorization.

464657021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 464657021 is about 21555.9045507258. The cubic root of 464657021 is about 774.5405648752.

The spelling of 464657021 in words is "four hundred sixty-four million, six hundred fifty-seven thousand, twenty-one".