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4443664 = 24172312
BaseRepresentation
bin10000111100111000010000
322100202120011
4100330320100
52114144124
6235124304
752525201
oct20747020
98322504
104443664
112565655
1215a3694
13bc77b4
148395a8
155cb994
hex43ce10

4443664 has 45 divisors (see below), whose sum is σ = 9450381. Its totient is φ = 2023680.

The previous prime is 4443653. The next prime is 4443689. The reversal of 4443664 is 4663444.

The square root of 4443664 is 2108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3459600 + 984064 = 1860^2 + 992^2 .

It is a super-2 number, since 2×44436642 = 39492299489792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143329 + ... + 143359.

Almost surely, 24443664 is an apocalyptic number.

4443664 is the 2108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4443664

4443664 is an abundant number, since it is smaller than the sum of its proper divisors (5006717).

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

4443664 is a wasteful number, since it uses less digits than its factorization.

4443664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 50 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

The cubic root of 4443664 is about 164.4045140178.

The spelling of 4443664 in words is "four million, four hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 289 496 527 578 961 1054 1156 1922 2108 2312 3844 4216 4624 7688 8432 8959 15376 16337 17918 32674 35836 65348 71672 130696 143344 261392 277729 555458 1110916 2221832 4443664