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428575365 = 3259523897
BaseRepresentation
bin11001100010111…
…000101010000101
31002212102212212200
4121202320222011
51334203402430
6110305505113
713422554601
oct3142705205
91085385780
10428575365
111aaa13019
12bb642199
136aa37cba
1440cc2501
152795a460
hex198b8a85

428575365 has 12 divisors (see below), whose sum is σ = 742864044. Its totient is φ = 228573504.

The previous prime is 428575363. The next prime is 428575387. The reversal of 428575365 is 563575824.

428575365 is a `hidden beast` number, since 4 + 285 + 7 + 5 + 365 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286083396 + 142491969 = 16914^2 + 11937^2 .

It is not a de Polignac number, because 428575365 - 21 = 428575363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9523897 = 428575365 / (4 + 2 + 8 + 5 + 7 + 5 + 3 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 428575365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428575363) 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 11 ways as a sum of consecutive naturals, for example, 4761904 + ... + 4761993.

It is an arithmetic number, because the mean of its divisors is an integer number (61905337).

Almost surely, 2428575365 is an apocalyptic number.

428575365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428575365 is a deficient number, since it is larger than the sum of its proper divisors (314288679).

428575365 is a wasteful number, since it uses less digits than its factorization.

428575365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523908 (or 9523905 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 428575365 is about 20702.0618538348. The cubic root of 428575365 is about 753.9497494578.

The spelling of 428575365 in words is "four hundred twenty-eight million, five hundred seventy-five thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 9523897 28571691 47619485 85715073 142858455 428575365