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444570056 = 23719221991
BaseRepresentation
bin11010011111111…
…001100111001000
31010222112111110122
4122133321213020
51402302220211
6112040402412
714005532420
oct3237714710
91128474418
10444570056
11208a48077
12104a76408
1371148308
1443087480
15290696db
hex1a7f99c8

444570056 has 48 divisors (see below), whose sum is σ = 1005474240. Its totient is φ = 180493920.

The previous prime is 444570053. The next prime is 444570083. The reversal of 444570056 is 650075444.

It is a junction number, because it is equal to n+sod(n) for n = 444569998 and 444570025.

It is not an unprimeable number, because it can be changed into a prime (444570053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9221 + ... + 31211.

It is an arithmetic number, because the mean of its divisors is an integer number (20947380).

Almost surely, 2444570056 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 444570056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502737120).

444570056 is an abundant number, since it is smaller than the sum of its proper divisors (560904184).

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

444570056 is a wasteful number, since it uses less digits than its factorization.

444570056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22042 (or 22019 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 444570056 is about 21084.8299969433. The cubic root of 444570056 is about 763.2147162652.

The spelling of 444570056 in words is "four hundred forty-four million, five hundred seventy thousand, fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2527 2888 5054 10108 20216 21991 43982 87964 153937 175928 307874 417829 615748 835658 1231496 1671316 2924803 3342632 5849606 7938751 11699212 15877502 23398424 31755004 55571257 63510008 111142514 222285028 444570056