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6644144 = 2413171879
BaseRepresentation
bin11001010110000110110000
3110111120001102
4121112012300
53200103034
6354223532
7110321453
oct31260660
913446042
106644144
113828931
122284ba8
1314b8260
14c4d49a
158b397e
hex6561b0

6644144 has 40 divisors (see below), whose sum is σ = 14686560. Its totient is φ = 2884608.

The previous prime is 6644123. The next prime is 6644147. The reversal of 6644144 is 4414466.

It is not an unprimeable number, because it can be changed into a prime (6644147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2597 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (367164).

Almost surely, 26644144 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 6644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343280).

6644144 is an abundant number, since it is smaller than the sum of its proper divisors (8042416).

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

6644144 is a wasteful number, since it uses less digits than its factorization.

6644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 6644144 is about 2577.6237118711. The cubic root of 6644144 is about 187.9950202393.

The spelling of 6644144 in words is "six million, six hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 1879 3536 3758 7516 15032 24427 30064 31943 48854 63886 97708 127772 195416 255544 390832 415259 511088 830518 1661036 3322072 6644144