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6428408 = 237223231
BaseRepresentation
bin11000100001011011111000
3110002121010012
4120201123320
53121202113
6345441052
7105432500
oct30413370
913077105
106428408
1136a0838
1221a0188
131440cbc
14bd4a00
1586eaa8
hex6216f8

6428408 has 72 divisors (see below), whose sum is σ = 15130080. Its totient is φ = 2550240.

The previous prime is 6428407. The next prime is 6428419. The reversal of 6428408 is 8048246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 207353 + ... + 207383.

It is an arithmetic number, because the mean of its divisors is an integer number (210140).

Almost surely, 26428408 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 6428408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565040).

6428408 is an abundant number, since it is smaller than the sum of its proper divisors (8701672).

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

6428408 is a wasteful number, since it uses less digits than its factorization.

6428408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 6428408 is about 2535.4305354318. The cubic root of 6428408 is about 185.9378525945.

The spelling of 6428408 in words is "six million, four hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 23 28 31 46 49 56 62 92 98 124 161 184 196 217 248 322 392 434 529 644 713 868 1058 1127 1288 1426 1519 1736 2116 2254 2852 3038 3703 4232 4508 4991 5704 6076 7406 9016 9982 12152 14812 16399 19964 25921 29624 32798 34937 39928 51842 65596 69874 103684 114793 131192 139748 207368 229586 279496 459172 803551 918344 1607102 3214204 6428408