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455137829 is a prime number
BaseRepresentation
bin11011001000001…
…101101000100101
31011201102101201122
4123020031220211
51413003402304
6113055103325
714164415306
oct3310155045
91151371648
10455137829
11213a05873
12108511b45
13733a8433
14446387ad
1529e559be
hex1b20da25

455137829 has 2 divisors, whose sum is σ = 455137830. Its totient is φ = 455137828.

The previous prime is 455137763. The next prime is 455137841. The reversal of 455137829 is 928731554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264062500 + 191075329 = 16250^2 + 13823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-455137829 is a prime.

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 455137829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (455137849) 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, 227568914 + 227568915.

It is an arithmetic number, because the mean of its divisors is an integer number (227568915).

Almost surely, 2455137829 is an apocalyptic number.

It is an amenable number.

455137829 is a deficient number, since it is larger than the sum of its proper divisors (1).

455137829 is an equidigital number, since it uses as much as digits as its factorization.

455137829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 302400, while the sum is 44.

The square root of 455137829 is about 21333.9595246640. The cubic root of 455137829 is about 769.2148228266.

The spelling of 455137829 in words is "four hundred fifty-five million, one hundred thirty-seven thousand, eight hundred twenty-nine".