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4404331024 = 2419193271277
BaseRepresentation
bin1000001101000010…
…01100001000010000
3102100221112012100021
410012201030020100
533010002043044
62005012033224
7214100124142
oct40641141020
912327465307
104404331024
1119601480a5
12a2b002814
1355261b442
142dad24c92
151ab9e1e84
hex10684c210

4404331024 has 80 divisors (see below), whose sum is σ = 9095092480. Its totient is φ = 2060328960.

The previous prime is 4404331013. The next prime is 4404331031. The reversal of 4404331024 is 4201334044.

It is a self number, because there is not a number n which added to its sum of digits gives 4404331024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15899974 + ... + 15900250.

It is an arithmetic number, because the mean of its divisors is an integer number (113688656).

Almost surely, 24404331024 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 4404331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547546240).

4404331024 is an abundant number, since it is smaller than the sum of its proper divisors (4690761456).

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

4404331024 is a wasteful number, since it uses less digits than its factorization.

4404331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4404331024 is about 66365.1340991638. The cubic root of 4404331024 is about 1639.1800164183.

Adding to 4404331024 its reverse (4201334044), we get a palindrome (8605665068).

The spelling of 4404331024 in words is "four billion, four hundred four million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 193 271 277 304 386 542 554 772 1084 1108 1544 2168 2216 3088 3667 4336 4432 5149 5263 7334 10298 10526 14668 20596 21052 29336 41192 42104 52303 53461 58672 75067 82384 84208 104606 106922 150134 209212 213844 300268 418424 427688 600536 836848 855376 993757 1015759 1201072 1426273 1987514 2031518 2852546 3975028 4063036 5705092 7950056 8126072 11410184 14487931 15900112 16252144 22820368 28975862 57951724 115903448 231806896 275270689 550541378 1101082756 2202165512 4404331024