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444205716 = 223172235569
BaseRepresentation
bin11010011110100…
…000101010010100
31010221211222200120
4122132200222110
51402204040331
6112024511540
714002454253
oct3236405224
91127758616
10444205716
11208819369
1210491b5b0
137104b526
1442dd079a
1528ee6796
hex1a7a0a94

444205716 has 72 divisors (see below), whose sum is σ = 1149113280. Its totient is φ = 133275648.

The previous prime is 444205709. The next prime is 444205717. The reversal of 444205716 is 617502444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444205717) 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, 76980 + ... + 82548.

Almost surely, 2444205716 is an apocalyptic number.

444205716 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444205716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574556640).

444205716 is an abundant number, since it is smaller than the sum of its proper divisors (704907564).

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

444205716 is a wasteful number, since it uses less digits than its factorization.

444205716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 444205716 is about 21076.1883650721. The cubic root of 444205716 is about 763.0061659718.

The spelling of 444205716 in words is "four hundred forty-four million, two hundred five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 289 391 578 782 867 1156 1173 1564 1734 2346 3468 4692 5569 6647 11138 13294 16707 19941 22276 26588 33414 39882 66828 79764 94673 128087 189346 256174 284019 378692 384261 512348 568038 768522 1136076 1537044 1609441 2177479 3218882 4354958 4828323 6437764 6532437 8709916 9656646 13064874 19313292 26129748 37017143 74034286 111051429 148068572 222102858 444205716