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420525521 = 1361530297
BaseRepresentation
bin11001000100001…
…011010111010001
31002022021220120022
4121010023113101
51330123304041
6105421153225
713264256633
oct3104132721
91068256508
10420525521
111a6415059
12b89bb815
1369179c90
143dbc8a53
1526dba24b
hex1910b5d1

420525521 has 8 divisors (see below), whose sum is σ = 460298664. Its totient is φ = 381813120.

The previous prime is 420525517. The next prime is 420525527. The reversal of 420525521 is 125525024.

It can be written as a sum of positive squares in 4 ways, for example, as 7623121 + 412902400 = 2761^2 + 20320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420525521 - 22 = 420525517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420525527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264356 + ... + 265941.

It is an arithmetic number, because the mean of its divisors is an integer number (57537333).

Almost surely, 2420525521 is an apocalyptic number.

It is an amenable number.

420525521 is a deficient number, since it is larger than the sum of its proper divisors (39773143).

420525521 is a wasteful number, since it uses less digits than its factorization.

420525521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530371.

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 420525521 is about 20506.7189233188. The cubic root of 420525521 is about 749.1994545474.

The spelling of 420525521 in words is "four hundred twenty million, five hundred twenty-five thousand, five hundred twenty-one".

Divisors: 1 13 61 793 530297 6893861 32348117 420525521