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423828 = 223261193
BaseRepresentation
bin1100111011110010100
3210112101100
41213132110
5102030303
613030100
73413436
oct1473624
9715340
10423828
1126a479
12185330
1311abb2
14b0656
15858a3
hex67794

423828 has 36 divisors (see below), whose sum is σ = 1094548. Its totient is φ = 138240.

The previous prime is 423823. The next prime is 423847. The reversal of 423828 is 828324.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 374544 = 222^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423823) by changing a digit.

423828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2100 + ... + 2292.

2423828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547274).

423828 is an abundant number, since it is smaller than the sum of its proper divisors (670720).

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

423828 is a wasteful number, since it uses less digits than its factorization.

423828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 423828 is about 651.0207369969. The cubic root of 423828 is about 75.1155552018.

Subtracting from 423828 its sum of digits (27), we obtain a square (423801 = 6512).

Subtracting 423828 from its reverse (828324), we obtain a square (404496 = 6362).

It can be divided in two parts, 4 and 23828, that added together give a palindrome (23832).

The spelling of 423828 in words is "four hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 193 244 366 386 549 579 732 772 1098 1158 1737 2196 2316 3474 6948 11773 23546 35319 47092 70638 105957 141276 211914 423828