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428085 = 3457151
BaseRepresentation
bin1101000100000110101
3210202020000
41220200311
5102144320
613101513
73432030
oct1504065
9722200
10428085
11272699
12187899
1311cb08
14b2017
1586c90
hex68835

428085 has 40 divisors (see below), whose sum is σ = 882816. Its totient is φ = 194400.

The previous prime is 428083. The next prime is 428093. The reversal of 428085 is 580824.

It is not a de Polignac number, because 428085 - 21 = 428083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428085.

It is not an unprimeable number, because it can be changed into a prime (428083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2760 + ... + 2910.

2428085 is an apocalyptic number.

428085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428085 is an abundant number, since it is smaller than the sum of its proper divisors (454731).

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

428085 is a wasteful number, since it uses less digits than its factorization.

428085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 428085 is about 654.2820492723. The cubic root of 428085 is about 75.3662089695.

The spelling of 428085 in words is "four hundred twenty-eight thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 151 189 315 405 453 567 755 945 1057 1359 2265 2835 3171 4077 5285 6795 9513 12231 15855 20385 28539 47565 61155 85617 142695 428085