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252806377 is a prime number
BaseRepresentation
bin11110001000110…
…00010011101001
3122121200220011011
433010120103221
51004204301002
641030303521
76156550555
oct1704302351
9577626134
10252806377
1111a78019a
12707b7ba1
13404b5b95
142580a865
15172da8d7
hexf1184e9

252806377 has 2 divisors, whose sum is σ = 252806378. Its totient is φ = 252806376.

The previous prime is 252806353. The next prime is 252806401. The reversal of 252806377 is 773608252.

It is a balanced prime because it is at equal distance from previous prime (252806353) and next prime (252806401).

It can be written as a sum of positive squares in only one way, i.e., 247873536 + 4932841 = 15744^2 + 2221^2 .

It is a cyclic number.

It is not a de Polignac number, because 252806377 - 227 = 118588649 is a prime.

It is a super-2 number, since 2×2528063772 = 127822128503732258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (252801377) 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, 126403188 + 126403189.

It is an arithmetic number, because the mean of its divisors is an integer number (126403189).

Almost surely, 2252806377 is an apocalyptic number.

It is an amenable number.

252806377 is a deficient number, since it is larger than the sum of its proper divisors (1).

252806377 is an equidigital number, since it uses as much as digits as its factorization.

252806377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 252806377 is about 15899.8860687742. The cubic root of 252806377 is about 632.3089682274.

The spelling of 252806377 in words is "two hundred fifty-two million, eight hundred six thousand, three hundred seventy-seven".