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6483664 = 2411217197
BaseRepresentation
bin11000101110111011010000
3110012101220201
4120232323100
53124434124
6350544544
7106052545
oct30567320
913171821
106483664
113729300
122208154
1314601b5
14c0abcc
15881144
hex62eed0

6483664 has 60 divisors (see below), whose sum is σ = 14694372. Its totient is φ = 2759680.

The previous prime is 6483643. The next prime is 6483667. The reversal of 6483664 is 4663846.

It can be written as a sum of positive squares in 2 ways, for example, as 5856400 + 627264 = 2420^2 + 792^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6483667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32814 + ... + 33010.

Almost surely, 26483664 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 6483664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347186).

6483664 is an abundant number, since it is smaller than the sum of its proper divisors (8210708).

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

6483664 is a wasteful number, since it uses less digits than its factorization.

6483664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 6483664 is about 2546.3039881365. The cubic root of 6483664 is about 186.4690823164.

The spelling of 6483664 in words is "six million, four hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 197 242 272 374 394 484 748 788 968 1496 1576 1936 2057 2167 2992 3152 3349 4114 4334 6698 8228 8668 13396 16456 17336 23837 26792 32912 34672 36839 47674 53584 73678 95348 147356 190696 294712 381392 405229 589424 810458 1620916 3241832 6483664