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420816852 = 223211689357
BaseRepresentation
bin11001000101010…
…010011111010100
31002022211201012100
4121011102133110
51330212114402
6105431322100
713266612201
oct3105223724
91068751170
10420816852
111a65a3a25
12b8b20330
136924c771
143dc62ca8
1526e2671c
hex191527d4

420816852 has 18 divisors (see below), whose sum is σ = 1063731578. Its totient is φ = 140272272.

The previous prime is 420816841. The next prime is 420816853. The reversal of 420816852 is 258618024.

It can be written as a sum of positive squares in only one way, i.e., 401842116 + 18974736 = 20046^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11689357 = 420816852 / (4 + 2 + 0 + 8 + 1 + 6 + 8 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420816853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5844643 + ... + 5844714.

Almost surely, 2420816852 is an apocalyptic number.

It is an amenable number.

420816852 is an abundant number, since it is smaller than the sum of its proper divisors (642914726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420816852 is a wasteful number, since it uses less digits than its factorization.

420816852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11689367 (or 11689362 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 420816852 is about 20513.8209995115. The cubic root of 420816852 is about 749.3724243449.

The spelling of 420816852 in words is "four hundred twenty million, eight hundred sixteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11689357 23378714 35068071 46757428 70136142 105204213 140272284 210408426 420816852