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147048329 is a prime number
BaseRepresentation
bin10001100001111…
…00011110001001
3101020200211101102
420300330132021
5300121021304
622331431145
73433614221
oct1060743611
9336624342
10147048329
117600664a
12412b54b5
132460755c
141575b081
15cd99d1e
hex8c3c789

147048329 has 2 divisors, whose sum is σ = 147048330. Its totient is φ = 147048328.

The previous prime is 147048311. The next prime is 147048367. The reversal of 147048329 is 923840741.

It is an a-pointer prime, because the next prime (147048367) can be obtained adding 147048329 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83814025 + 63234304 = 9155^2 + 7952^2 .

It is a cyclic number.

It is not a de Polignac number, because 147048329 - 28 = 147048073 is a prime.

It is a super-2 number, since 2×1470483292 = 43246422123384482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 147048292 and 147048301.

It is not a weakly prime, because it can be changed into another prime (147048379) 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, 73524164 + 73524165.

It is an arithmetic number, because the mean of its divisors is an integer number (73524165).

Almost surely, 2147048329 is an apocalyptic number.

It is an amenable number.

147048329 is a deficient number, since it is larger than the sum of its proper divisors (1).

147048329 is an equidigital number, since it uses as much as digits as its factorization.

147048329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 147048329 is about 12126.3485435641. The cubic root of 147048329 is about 527.8210397959.

The spelling of 147048329 in words is "one hundred forty-seven million, forty-eight thousand, three hundred twenty-nine".