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4426446444 = 223759893149
BaseRepresentation
bin1000001111101011…
…00011011001101100
3102102111010202222220
410013311203121230
533031132241234
62011122035340
7214456113450
oct40765433154
912374122886
104426446444
111971682802
12a364a8b50
135570926a4
142ddc40660
151ad90ea49
hex107d6366c

4426446444 has 48 divisors (see below), whose sum is σ = 12003936000. Its totient is φ = 1243262016.

The previous prime is 4426446403. The next prime is 4426446461. The reversal of 4426446444 is 4446446244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4426446396 and 4426446405.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 441619 + ... + 451530.

It is an arithmetic number, because the mean of its divisors is an integer number (250082000).

Almost surely, 24426446444 is an apocalyptic number.

It is an amenable number.

4426446444 is an abundant number, since it is smaller than the sum of its proper divisors (7577489556).

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

4426446444 is a wasteful number, since it uses less digits than its factorization.

4426446444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893222 (or 893220 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The square root of 4426446444 is about 66531.5447287976. The cubic root of 4426446444 is about 1641.9190360465.

The spelling of 4426446444 in words is "four billion, four hundred twenty-six million, four hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 893149 1786298 2679447 3572596 5358894 6252043 10717788 12504086 18756129 25008172 37512258 52695791 75024516 105391582 158087373 210783164 316174746 368870537 632349492 737741074 1106611611 1475482148 2213223222 4426446444