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6428436 = 2237103743
BaseRepresentation
bin11000100001011100010100
3110002121011020
4120201130110
53121202221
6345441140
7105432540
oct30413424
913077136
106428436
1136a0863
1221a01b0
131441011
14bd4a20
1586eac6
hex621714

6428436 has 48 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 1816416.

The previous prime is 6428419. The next prime is 6428447. The reversal of 6428436 is 6348246.

It is a junction number, because it is equal to n+sod(n) for n = 6428397 and 6428406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8281 + ... + 9023.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 26428436 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 6428436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

6428436 is an abundant number, since it is smaller than the sum of its proper divisors (10903788).

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

6428436 is a wasteful number, since it uses less digits than its factorization.

6428436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 6428436 is about 2535.4360571704. The cubic root of 6428436 is about 185.9381225552.

The spelling of 6428436 in words is "six million, four hundred twenty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 743 1236 1442 1486 2163 2229 2884 2972 4326 4458 5201 8652 8916 10402 15603 20804 31206 62412 76529 153058 229587 306116 459174 535703 918348 1071406 1607109 2142812 3214218 6428436