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4441090896 = 2433117113163
BaseRepresentation
bin1000010001011010…
…11010101101010000
3102110111200210102000
410020231122231100
533043404402041
62012403554000
7215024435604
oct41055325520
912414623360
104441090896
111979975360
12a3b38b900
1355a11c248
14301b73504
151aed53bb6
hex108b5ab50

4441090896 has 160 divisors (see below), whose sum is σ = 14103383040. Its totient is φ = 1326729600.

The previous prime is 4441090891. The next prime is 4441090921. The reversal of 4441090896 is 6980901444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441090891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330811 + ... + 343973.

It is an arithmetic number, because the mean of its divisors is an integer number (88146144).

Almost surely, 24441090896 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 4441090896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051691520).

4441090896 is an abundant number, since it is smaller than the sum of its proper divisors (9662292144).

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

4441090896 is a wasteful number, since it uses less digits than its factorization.

4441090896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13262 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4441090896 is about 66641.5103070151. The cubic root of 4441090896 is about 1643.7277507511.

The spelling of 4441090896 in words is "four billion, four hundred forty-one million, ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 264 284 297 396 426 432 528 568 594 639 781 792 852 1136 1188 1278 1562 1584 1704 1917 2343 2376 2556 3124 3408 3834 4686 4752 5112 6248 7029 7668 9372 10224 12496 13163 14058 15336 18744 21087 26326 28116 30672 37488 39489 42174 52652 56232 78978 84348 105304 112464 118467 144793 157956 168696 210608 236934 289586 315912 337392 355401 434379 473868 579172 631824 710802 868758 934573 947736 1158344 1303137 1421604 1737516 1869146 1895472 2316688 2606274 2803719 2843208 3475032 3738292 3909411 5212548 5607438 5686416 6950064 7476584 7818822 8411157 10280303 10425096 11214876 14953168 15637644 16822314 20560606 20850192 22429752 25233471 30840909 31275288 33644628 41121212 44859504 50466942 61681818 62550576 67289256 82242424 92522727 100933884 123363636 134578512 164484848 185045454 201867768 246727272 277568181 370090908 403735536 493454544 555136362 740181816 1110272724 1480363632 2220545448 4441090896