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4442347252 = 2272297191087
BaseRepresentation
bin1000010001100100…
…01101011011110100
3102110121001121210201
410020302031123310
533044220103002
62012450530244
7215041220500
oct41062153364
912417047721
104442347252
11197a653272
12a3b896984
1355a46c055
14301dbd300
151b0001087
hex108c8d6f4

4442347252 has 72 divisors (see below), whose sum is σ = 9376819200. Its totient is φ = 1833967296.

The previous prime is 4442347207. The next prime is 4442347267. The reversal of 4442347252 is 2527432444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4086253 + ... + 4087339.

It is an arithmetic number, because the mean of its divisors is an integer number (130233600).

Almost surely, 24442347252 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 4442347252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

4442347252 is an abundant number, since it is smaller than the sum of its proper divisors (4934471948).

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

4442347252 is a wasteful number, since it uses less digits than its factorization.

4442347252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1844 counting only the distinct ones).

The product of its digits is 215040, while the sum is 37.

The square root of 4442347252 is about 66650.9358673980. The cubic root of 4442347252 is about 1643.8827361339.

Adding to 4442347252 its reverse (2527432444), we get a palindrome (6969779696).

The spelling of 4442347252 in words is "four billion, four hundred forty-two million, three hundred forty-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 719 812 1087 1421 1438 2174 2842 2876 4348 5033 5684 7609 10066 15218 20132 20851 30436 31523 35231 41702 53263 63046 70462 83404 106526 126092 140924 145957 213052 220661 291914 441322 583828 781553 882644 1021699 1544627 1563106 2043398 3089254 3126212 4086796 5470871 6178508 10941742 21883484 22665037 38296097 45330074 76592194 90660148 153184388 158655259 317310518 634621036 1110586813 2221173626 4442347252