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465040757 is a prime number
BaseRepresentation
bin11011101101111…
…111010101110101
31012102001111222202
4123231333111311
51423022301012
6114051234245
714344531646
oct3355772565
91172044882
10465040757
1121955a005
1210b8a8985
1375464a5c
1445a956cd
152ac5ecc2
hex1bb7f575

465040757 has 2 divisors, whose sum is σ = 465040758. Its totient is φ = 465040756.

The previous prime is 465040727. The next prime is 465040787. The reversal of 465040757 is 757040564.

It is a balanced prime because it is at equal distance from previous prime (465040727) and next prime (465040787).

It can be written as a sum of positive squares in only one way, i.e., 444619396 + 20421361 = 21086^2 + 4519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-465040757 is a prime.

It is a super-2 number, since 2×4650407572 = 432525811342266098, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 465040757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (465040727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232520378 + 232520379.

It is an arithmetic number, because the mean of its divisors is an integer number (232520379).

Almost surely, 2465040757 is an apocalyptic number.

It is an amenable number.

465040757 is a deficient number, since it is larger than the sum of its proper divisors (1).

465040757 is an equidigital number, since it uses as much as digits as its factorization.

465040757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 465040757 is about 21564.8036624496. The cubic root of 465040757 is about 774.7537237595.

The spelling of 465040757 in words is "four hundred sixty-five million, forty thousand, seven hundred fifty-seven".