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420342425 = 52171735717
BaseRepresentation
bin11001000011011…
…110101010011001
31002021221121101222
4121003132222121
51330101424200
6105413221425
713262565056
oct3103365231
91067847358
10420342425
111a62aa538
12b8931875
1369114839
143db7c02d
1526d80d85
hex190dea99

420342425 has 24 divisors (see below), whose sum is σ = 555172056. Its totient is φ = 314608640.

The previous prime is 420342413. The next prime is 420342427. The reversal of 420342425 is 524243024.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4631104 + 415711321 = 2152^2 + 20389^2 .

It is not a de Polignac number, because 420342425 - 212 = 420338329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420342394 and 420342403.

It is not an unprimeable number, because it can be changed into a prime (420342427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70667 + ... + 76383.

It is an arithmetic number, because the mean of its divisors is an integer number (23132169).

Almost surely, 2420342425 is an apocalyptic number.

It is an amenable number.

420342425 is a deficient number, since it is larger than the sum of its proper divisors (134829631).

420342425 is a wasteful number, since it uses less digits than its factorization.

420342425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 420342425 is about 20502.2541443618. The cubic root of 420342425 is about 749.0907054308.

Adding to 420342425 its reverse (524243024), we get a palindrome (944585449).

The spelling of 420342425 in words is "four hundred twenty million, three hundred forty-two thousand, four hundred twenty-five".

Divisors: 1 5 17 25 85 173 425 865 2941 4325 5717 14705 28585 73525 97189 142925 485945 989041 2429725 4945205 16813697 24726025 84068485 420342425