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417742621 is a prime number
BaseRepresentation
bin11000111001100…
…011111100011101
31002010001112010221
4120321203330131
51323420230441
6105241401341
713231516342
oct3071437435
91063045127
10417742621
111a489423a
12b7a99251
13687143aa
143d6a27c9
1526a1a8d1
hex18e63f1d

417742621 has 2 divisors, whose sum is σ = 417742622. Its totient is φ = 417742620.

The previous prime is 417742613. The next prime is 417742631. The reversal of 417742621 is 126247714.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 375816996 + 41925625 = 19386^2 + 6475^2 .

It is a cyclic number.

It is not a de Polignac number, because 417742621 - 23 = 417742613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417742601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208871310 + 208871311.

It is an arithmetic number, because the mean of its divisors is an integer number (208871311).

Almost surely, 2417742621 is an apocalyptic number.

It is an amenable number.

417742621 is a deficient number, since it is larger than the sum of its proper divisors (1).

417742621 is an equidigital number, since it uses as much as digits as its factorization.

417742621 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 34.

The square root of 417742621 is about 20438.7529218394. The cubic root of 417742621 is about 747.5431434105.

The spelling of 417742621 in words is "four hundred seventeen million, seven hundred forty-two thousand, six hundred twenty-one".