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252412729 is a prime number
BaseRepresentation
bin11110000101110…
…00001100111001
3122120221220011121
433002320030321
51004104201404
641014025241
76153321112
oct1702701471
9576856147
10252412729
1111a531468
1270648221
13403a895a
1425747209
151725de54
hexf0b8339

252412729 has 2 divisors, whose sum is σ = 252412730. Its totient is φ = 252412728.

The previous prime is 252412697. The next prime is 252412763. The reversal of 252412729 is 927214252.

It is a happy number.

252412729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (252412763) can be obtained adding 252412729 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177555625 + 74857104 = 13325^2 + 8652^2 .

It is a cyclic number.

It is not a de Polignac number, because 252412729 - 25 = 252412697 is a prime.

It is a super-2 number, since 2×2524127292 = 127424371522454882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252412694 and 252412703.

It is not a weakly prime, because it can be changed into another prime (252412529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126206364 + 126206365.

It is an arithmetic number, because the mean of its divisors is an integer number (126206365).

Almost surely, 2252412729 is an apocalyptic number.

It is an amenable number.

252412729 is a deficient number, since it is larger than the sum of its proper divisors (1).

252412729 is an equidigital number, since it uses as much as digits as its factorization.

252412729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20160, while the sum is 34.

The square root of 252412729 is about 15887.5022895356. The cubic root of 252412729 is about 631.9806056445.

The spelling of 252412729 in words is "two hundred fifty-two million, four hundred twelve thousand, seven hundred twenty-nine".