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428250321 = 363715877
BaseRepresentation
bin11001100001101…
…001010011010001
31002211211101000000
4121201221103101
51334113002241
6110254520213
713420032132
oct3141512321
91084741000
10428250321
111aa810894
12bb506069
136a953075
1440c39c89
15278e3eb6
hex198694d1

428250321 has 28 divisors (see below), whose sum is σ = 659476852. Its totient is φ = 277766496.

The previous prime is 428250311. The next prime is 428250341. The reversal of 428250321 is 123052824.

It can be written as a sum of positive squares in 2 ways, for example, as 415548225 + 12702096 = 20385^2 + 3564^2 .

It is not a de Polignac number, because 428250321 - 211 = 428248273 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428250311) 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 27 ways as a sum of consecutive naturals, for example, 19035 + ... + 34911.

Almost surely, 2428250321 is an apocalyptic number.

It is an amenable number.

428250321 is a deficient number, since it is larger than the sum of its proper divisors (231226531).

428250321 is an equidigital number, since it uses as much as digits as its factorization.

428250321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15932 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 428250321 is about 20694.2098423690. The cubic root of 428250321 is about 753.7590954572.

The spelling of 428250321 in words is "four hundred twenty-eight million, two hundred fifty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 2997 8991 15877 26973 47631 142893 428679 587449 1286037 1762347 3858111 5287041 11574333 15861123 47583369 142750107 428250321