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444228642 = 2321113172583
BaseRepresentation
bin11010011110100…
…110010000100010
31010221220011010200
4122132212100202
51402210304032
6112025210030
714002611144
oct3236462042
91127804120
10444228642
11208834610
12104930916
1371058ab0
1442dd8c94
1528eed47c
hex1a7a6422

444228642 has 48 divisors (see below), whose sum is σ = 1130770368. Its totient is φ = 124259040.

The previous prime is 444228619. The next prime is 444228643. The reversal of 444228642 is 246822444.

It is a happy number.

444228642 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 2 + 8 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444228597 and 444228606.

It is not an unprimeable number, because it can be changed into a prime (444228643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83718 + ... + 88865.

It is an arithmetic number, because the mean of its divisors is an integer number (23557716).

Almost surely, 2444228642 is an apocalyptic number.

444228642 is an abundant number, since it is smaller than the sum of its proper divisors (686541726).

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

444228642 is a wasteful number, since it uses less digits than its factorization.

444228642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172615 (or 172612 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 444228642 is about 21076.7322419772. The cubic root of 444228642 is about 763.0192923063.

The spelling of 444228642 in words is "four hundred forty-four million, two hundred twenty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 172583 345166 517749 1035498 1553247 1898413 2243579 3106494 3796826 4487158 5695239 6730737 11390478 13461474 17085717 20192211 24679369 34171434 40384422 49358738 74038107 148076214 222114321 444228642