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419965813 = 895698293
BaseRepresentation
bin11001000010000…
…010101101110101
31002021020110210101
4121002002231311
51330002401223
6105401154101
713256436061
oct3102025565
91067213711
10419965813
111a6072593
12b878b931
13690122a7
143dac0aa1
1526d094ad
hex19082b75

419965813 has 8 divisors (see below), whose sum is σ = 425482200. Its totient is φ = 414467328.

The previous prime is 419965811. The next prime is 419965823. The reversal of 419965813 is 318569914.

It can be written as a sum of positive squares in 4 ways, for example, as 4743684 + 415222129 = 2178^2 + 20377^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 419965813 - 21 = 419965811 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419965811) 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 in 7 ways as a sum of consecutive naturals, for example, 46495 + ... + 54787.

It is an arithmetic number, because the mean of its divisors is an integer number (53185275).

Almost surely, 2419965813 is an apocalyptic number.

It is an amenable number.

419965813 is a deficient number, since it is larger than the sum of its proper divisors (5516387).

419965813 is an equidigital number, since it uses as much as digits as its factorization.

419965813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951.

The product of its digits is 233280, while the sum is 46.

The square root of 419965813 is about 20493.0674375507. The cubic root of 419965813 is about 748.8669189578.

The spelling of 419965813 in words is "four hundred nineteen million, nine hundred sixty-five thousand, eight hundred thirteen".

Divisors: 1 89 569 8293 50641 738077 4718717 419965813