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648681444 = 2232171059937
BaseRepresentation
bin100110101010100…
…001011111100100
31200012121102122200
4212222201133210
52312030301234
6144211254500
722034462355
oct4652413744
91605542580
10648681444
11303188a74
121612aa430
13a4511a98
1462219d2c
153be36d99
hex26aa17e4

648681444 has 36 divisors (see below), whose sum is σ = 1736178444. Its totient is φ = 203507712.

The previous prime is 648681419. The next prime is 648681463. The reversal of 648681444 is 444186846.

648681444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 319694400 + 328987044 = 17880^2 + 18138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 648681444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529357 + ... + 530580.

It is an arithmetic number, because the mean of its divisors is an integer number (48227179).

Almost surely, 2648681444 is an apocalyptic number.

It is an amenable number.

648681444 is an abundant number, since it is smaller than the sum of its proper divisors (1087497000).

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

648681444 is a wasteful number, since it uses less digits than its factorization.

648681444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059964 (or 1059959 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 648681444 is about 25469.2254299184. The cubic root of 648681444 is about 865.6529730502.

The spelling of 648681444 in words is "six hundred forty-eight million, six hundred eighty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1059937 2119874 3179811 4239748 6359622 9539433 12719244 18018929 19078866 36037858 38157732 54056787 72075716 108113574 162170361 216227148 324340722 648681444