Search a number
-
+
6646144 = 27137379
BaseRepresentation
bin11001010110100110000000
3110111122210111
4121112212000
53200134034
6354241104
7110330341
oct31264600
913448714
106646144
11382a38a
122286194
1314b913b
14c500c8
158b4364
hex656980

6646144 has 32 divisors (see below), whose sum is σ = 13372200. Its totient is φ = 3290112.

The previous prime is 6646049. The next prime is 6646153. The reversal of 6646144 is 4416466.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17347 + ... + 17725.

Almost surely, 26646144 is an apocalyptic number.

6646144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686100).

6646144 is an abundant number, since it is smaller than the sum of its proper divisors (6726056).

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

6646144 is a wasteful number, since it uses less digits than its factorization.

6646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 6646144 is about 2578.0116369016. The cubic root of 6646144 is about 188.0138815765.

The spelling of 6646144 in words is "six million, six hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 137 274 379 548 758 1096 1516 2192 3032 4384 6064 8768 12128 17536 24256 48512 51923 103846 207692 415384 830768 1661536 3323072 6646144