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420929271 = 3378326833
BaseRepresentation
bin11001000101101…
…101111011110111
31002100001102102000
4121011231323313
51330224214041
6105433550343
713300561020
oct3105557367
91070042360
10420929271
111a6670434
12b8b753b3
136928b999
143dc91c47
1526e49bb6
hex1916def7

420929271 has 32 divisors (see below), whose sum is σ = 721297920. Its totient is φ = 237624192.

The previous prime is 420929221. The next prime is 420929273. The reversal of 420929271 is 172929024.

It is not a de Polignac number, because 420929271 - 211 = 420927223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420929273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2271 + ... + 29103.

It is an arithmetic number, because the mean of its divisors is an integer number (22540560).

Almost surely, 2420929271 is an apocalyptic number.

420929271 is a deficient number, since it is larger than the sum of its proper divisors (300368649).

420929271 is a wasteful number, since it uses less digits than its factorization.

420929271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26932 (or 26926 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 420929271 is about 20516.5608960176. The cubic root of 420929271 is about 749.4391486990.

The spelling of 420929271 in words is "four hundred twenty million, nine hundred twenty-nine thousand, two hundred seventy-one".

Divisors: 1 3 7 9 21 27 63 83 189 249 581 747 1743 2241 5229 15687 26833 80499 187831 241497 563493 724491 1690479 2227139 5071437 6681417 15589973 20044251 46769919 60132753 140309757 420929271