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427729153 is a prime number
BaseRepresentation
bin11001011111101…
…010000100000001
31002210211220002111
4121133222010001
51333444313103
6110235415321
713412431525
oct3137520401
91083756074
10427729153
111aa495275
12bb2b4541
136a7cca97
1440b41d85
152783e86d
hex197ea101

427729153 has 2 divisors, whose sum is σ = 427729154. Its totient is φ = 427729152.

The previous prime is 427729151. The next prime is 427729193. The reversal of 427729153 is 351927724.

It is an a-pointer prime, because the next prime (427729193) can be obtained adding 427729153 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385062129 + 42667024 = 19623^2 + 6532^2 .

It is a cyclic number.

It is not a de Polignac number, because 427729153 - 21 = 427729151 is a prime.

Together with 427729151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (427729151) 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, 213864576 + 213864577.

It is an arithmetic number, because the mean of its divisors is an integer number (213864577).

Almost surely, 2427729153 is an apocalyptic number.

It is an amenable number.

427729153 is a deficient number, since it is larger than the sum of its proper divisors (1).

427729153 is an equidigital number, since it uses as much as digits as its factorization.

427729153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 40.

The square root of 427729153 is about 20681.6138877023. The cubic root of 427729153 is about 753.4532038131.

The spelling of 427729153 in words is "four hundred twenty-seven million, seven hundred twenty-nine thousand, one hundred fifty-three".