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420783169 = 7322812
BaseRepresentation
bin11001000101001…
…010010001000001
31002022202222222211
4121011022101001
51330210030134
6105430502121
713266412042
oct3105122101
91068688884
10420783169
111a6580694
12b8b04941
136923a331
143dc548c9
1526e1b764
hex1914a441

420783169 has 9 divisors (see below), whose sum is σ = 428149929. Its totient is φ = 413542080.

The previous prime is 420783113. The next prime is 420783193. The reversal of 420783169 is 961387024.

The square root of 420783169 is 20513.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25250625 + 395532544 = 5025^2 + 19888^2 .

It is not a de Polignac number, because 420783169 - 211 = 420781121 is a prime.

It is a super-2 number, since 2×4207831692 = 354116950627365122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420783109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1497309 + ... + 1497589.

Almost surely, 2420783169 is an apocalyptic number.

420783169 is the 20513-rd square number.

420783169 is the 10257-th centered octagonal number.

It is an amenable number.

420783169 is a deficient number, since it is larger than the sum of its proper divisors (7366760).

420783169 is an frugal number, since it uses more digits than its factorization.

420783169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The cubic root of 420783169 is about 749.3524300689.

The spelling of 420783169 in words is "four hundred twenty million, seven hundred eighty-three thousand, one hundred sixty-nine".

Divisors: 1 73 281 5329 20513 78961 1497449 5764153 420783169