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444373938 = 23419236277
BaseRepresentation
bin11010011111001…
…001101110110010
31010222011112110000
4122133021232302
51402224431223
6112032250430
714004054561
oct3237115662
91128145400
10444373938
11208923798
121049a0a16
13710a9c78
1443035bd8
152902b543
hex1a7c9bb2

444373938 has 80 divisors (see below), whose sum is σ = 1093878720. Its totient is φ = 134205984.

The previous prime is 444373927. The next prime is 444373981. The reversal of 444373938 is 839373444.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444373893 and 444373902.

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 39 ways as a sum of consecutive naturals, for example, 67656 + ... + 73932.

It is an arithmetic number, because the mean of its divisors is an integer number (13673484).

Almost surely, 2444373938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444373938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546939360).

444373938 is an abundant number, since it is smaller than the sum of its proper divisors (649504782).

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

444373938 is a wasteful number, since it uses less digits than its factorization.

444373938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6324 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 444373938 is about 21080.1787943082. The cubic root of 444373938 is about 763.1024713692.

The spelling of 444373938 in words is "four hundred forty-four million, three hundred seventy-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 342 414 437 513 621 874 1026 1242 1311 1539 1863 2622 3078 3726 3933 6277 7866 11799 12554 18831 23598 35397 37662 56493 70794 112986 119263 144371 169479 238526 288742 338958 357789 433113 508437 715578 866226 1016874 1073367 1299339 2146734 2598678 2743049 3220101 3898017 5486098 6440202 7796034 8229147 9660303 11694051 16458294 19320606 23388102 24687441 49374882 74062323 148124646 222186969 444373938