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6443164 = 2271331571
BaseRepresentation
bin11000100101000010011100
3110010100100201
4120211002130
53122140124
6350033244
7105523510
oct30450234
913110321
106443164
113700932
1221a8824
131447930
14bda140
15874144
hex62509c

6443164 has 48 divisors (see below), whose sum is σ = 14350336. Its totient is φ = 2462400.

The previous prime is 6443159. The next prime is 6443167. The reversal of 6443164 is 4613446.

6443164 = T127 + T128 + ... + T343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6443167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10999 + ... + 11569.

Almost surely, 26443164 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 6443164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175168).

6443164 is an abundant number, since it is smaller than the sum of its proper divisors (7907172).

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

6443164 is a wasteful number, since it uses less digits than its factorization.

6443164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 6443164 is about 2538.3388268708. The cubic root of 6443164 is about 186.0800133647.

The spelling of 6443164 in words is "six million, four hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 571 806 868 1142 1612 2284 2821 3997 5642 7423 7994 11284 14846 15988 17701 29692 35402 51961 70804 103922 123907 207844 230113 247814 460226 495628 920452 1610791 3221582 6443164