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428259 = 31379139
BaseRepresentation
bin1101000100011100011
3210202110110
41220203203
5102201014
613102403
73432366
oct1504343
9722413
10428259
11272837
12187a03
1311cc10
14b20dd
1586d59
hex688e3

428259 has 16 divisors (see below), whose sum is σ = 627200. Its totient is φ = 258336.

The previous prime is 428251. The next prime is 428273. The reversal of 428259 is 952824.

It is not a de Polignac number, because 428259 - 23 = 428251 is a prime.

It is a Duffinian number.

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 428259.

It is not an unprimeable number, because it can be changed into a prime (428251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3012 + ... + 3150.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2428259 is an apocalyptic number.

428259 is a deficient number, since it is larger than the sum of its proper divisors (198941).

428259 is a wasteful number, since it uses less digits than its factorization.

428259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its digits is 5760, while the sum is 30.

The square root of 428259 is about 654.4150059404. The cubic root of 428259 is about 75.3764187363.

The spelling of 428259 in words is "four hundred twenty-eight thousand, two hundred fifty-nine".

Divisors: 1 3 13 39 79 139 237 417 1027 1807 3081 5421 10981 32943 142753 428259