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6643656 = 2332531741
BaseRepresentation
bin11001010101111111001000
3110111112101100
4121111333020
53200044111
6354221400
7110320155
oct31257710
913445340
106643656
113828528
122284860
1314b7c76
14c4d22c
158b3756
hex655fc8

6643656 has 48 divisors (see below), whose sum is σ = 18343260. Its totient is φ = 2171520.

The previous prime is 6643649. The next prime is 6643667. The reversal of 6643656 is 6563466.

6643656 is a `hidden beast` number, since 6 + 643 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6200100 + 443556 = 2490^2 + 666^2 .

It is a super-3 number, since 3×66436563 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6643656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2946 + ... + 4686.

Almost surely, 26643656 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 6643656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171630).

6643656 is an abundant number, since it is smaller than the sum of its proper divisors (11699604).

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

6643656 is a wasteful number, since it uses less digits than its factorization.

6643656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1799 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 6643656 is about 2577.5290493028. The cubic root of 6643656 is about 187.9904174986.

The spelling of 6643656 in words is "six million, six hundred forty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1741 1908 3482 3816 5223 6964 10446 13928 15669 20892 31338 41784 62676 92273 125352 184546 276819 369092 553638 738184 830457 1107276 1660914 2214552 3321828 6643656