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4483223844 = 22311313729611
BaseRepresentation
bin1000010110011100…
…01001000100100100
3102120102222100221120
410023032021010210
533140201130334
62020511013540
7216045526311
oct41316110444
912512870846
104483223844
1119a0732480
12a5150a2b0
13565a81898
143075bdd08
151b38c7949
hex10b389124

4483223844 has 96 divisors (see below), whose sum is σ = 12098752512. Its totient is φ = 1279152000.

The previous prime is 4483223821. The next prime is 4483223861.

4483223844 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4483223796 and 4483223805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136599 + ... + 166209.

It is an arithmetic number, because the mean of its divisors is an integer number (126028672).

Almost surely, 24483223844 is an apocalyptic number.

4483223844 is a gapful number since it is divisible by the number (44) 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 4483223844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049376256).

4483223844 is an abundant number, since it is smaller than the sum of its proper divisors (7615528668).

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

4483223844 is a wasteful number, since it uses less digits than its factorization.

4483223844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29697 (or 29695 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The square root of 4483223844 is about 66956.8804828899. The cubic root of 4483223844 is about 1648.9094531128.

The spelling of 4483223844 in words is "four billion, four hundred eighty-three million, two hundred twenty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 341 372 407 444 682 814 1023 1147 1221 1364 1628 2046 2294 2442 3441 4092 4588 4884 6882 12617 13764 25234 29611 37851 50468 59222 75702 88833 118444 151404 177666 325721 355332 651442 917941 977163 1095607 1302884 1835882 1954326 2191214 2753823 3286821 3671764 3908652 4382428 5507646 6573642 10097351 11015292 12051677 13147284 20194702 24103354 30292053 33963817 36155031 40389404 48206708 60584106 67927634 72310062 101891451 121168212 135855268 144620124 203782902 373601987 407565804 747203974 1120805961 1494407948 2241611922 4483223844