Search a number
-
+
4442784220 = 2257312813643
BaseRepresentation
bin1000010001100111…
…11000000111011100
3102110121212211012201
410020303320013130
533044323043340
62012504141244
7215045020450
oct41063700734
912417784181
104442784220
11197a9215a6
12a3ba67824
1355a592c04
14302094660
151b008a79a
hex108cf81dc

4442784220 has 96 divisors (see below), whose sum is σ = 11048841216. Its totient is φ = 1468454400.

The previous prime is 4442784211. The next prime is 4442784221. The reversal of 4442784220 is 224872444.

It is a self number, because there is not a number n which added to its sum of digits gives 4442784220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442784221) 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, 1217719 + ... + 1221361.

It is an arithmetic number, because the mean of its divisors is an integer number (115092096).

Almost surely, 24442784220 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 4442784220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524420608).

4442784220 is an abundant number, since it is smaller than the sum of its proper divisors (6606056996).

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

4442784220 is a wasteful number, since it uses less digits than its factorization.

4442784220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 37.

The square root of 4442784220 is about 66654.2138202830. The cubic root of 4442784220 is about 1643.9366341116.

The spelling of 4442784220 in words is "four billion, four hundred forty-two million, seven hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 281 310 434 562 620 868 1085 1124 1405 1967 2170 2810 3643 3934 4340 5620 7286 7868 8711 9835 14572 17422 18215 19670 25501 34844 36430 39340 43555 51002 60977 72860 87110 102004 112933 121954 127505 174220 225866 243908 255010 304885 451732 510020 564665 609770 790531 1023683 1129330 1219540 1581062 2047366 2258660 3162124 3952655 4094732 5118415 7165781 7905310 10236830 14331562 15810620 20473660 28663124 31734173 35828905 63468346 71657810 126936692 143315620 158670865 222139211 317341730 444278422 634683460 888556844 1110696055 2221392110 4442784220