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428520717 = 321737591283
BaseRepresentation
bin11001100010101…
…011010100001101
31002212100002220200
4121202223110031
51334200130332
6110304404113
713422236352
oct3142532415
91085302820
10428520717
111aa985a59
12bb616639
136aa19171
1440caa629
152794917c
hex198ab50d

428520717 has 48 divisors (see below), whose sum is σ = 685039680. Its totient is φ = 256974336.

The previous prime is 428520689. The next prime is 428520739. The reversal of 428520717 is 717025824.

It is not a de Polignac number, because 428520717 - 28 = 428520461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428520767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333358 + ... + 334640.

It is an arithmetic number, because the mean of its divisors is an integer number (14271660).

Almost surely, 2428520717 is an apocalyptic number.

It is an amenable number.

428520717 is a deficient number, since it is larger than the sum of its proper divisors (256518963).

428520717 is a wasteful number, since it uses less digits than its factorization.

428520717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 428520717 is about 20700.7419432251. The cubic root of 428520717 is about 753.9177025099.

The spelling of 428520717 in words is "four hundred twenty-eight million, five hundred twenty thousand, seven hundred seventeen".

Divisors: 1 3 9 17 37 51 59 111 153 177 333 531 629 1003 1283 1887 2183 3009 3849 5661 6549 9027 11547 19647 21811 37111 47471 65433 75697 111333 142413 196299 227091 333999 427239 681273 807007 1286849 2421021 2800789 3860547 7263063 8402367 11581641 25207101 47613413 142840239 428520717