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6808672 = 251321259
BaseRepresentation
bin11001111110010001100000
3110210220202001
4121332101200
53220334142
6401533344
7111605233
oct31762140
913726661
106808672
113930502
122344254
131545100
14c9341a
158e75b7
hex67e460

6808672 has 36 divisors (see below), whose sum is σ = 14526540. Its totient is φ = 3139968.

The previous prime is 6808657. The next prime is 6808699. The reversal of 6808672 is 2768086.

It is an Ulam number.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 4779 + ... + 6037.

It is an arithmetic number, because the mean of its divisors is an integer number (403515).

Almost surely, 26808672 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 6808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263270).

6808672 is an abundant number, since it is smaller than the sum of its proper divisors (7717868).

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

6808672 is a wasteful number, since it uses less digits than its factorization.

6808672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 6808672 is about 2609.3432123812. The cubic root of 6808672 is about 189.5341495996.

The spelling of 6808672 in words is "six million, eight hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1259 1352 2518 2704 5036 5408 10072 16367 20144 32734 40288 65468 130936 212771 261872 425542 523744 851084 1702168 3404336 6808672