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4444020200 = 23521910111579
BaseRepresentation
bin1000010001110001…
…00101110111101000
3102110201012121122202
410020320211313220
533100132121300
62012550435332
7215061356054
oct41070456750
912421177582
104444020200
111980596174
12a40362b48
1355a906669
143022d6c64
151b0231ad5
hex108e25de8

4444020200 has 96 divisors (see below), whose sum is σ = 10984788000. Its totient is φ = 1667232000.

The previous prime is 4444020199. The next prime is 4444020239. The reversal of 4444020200 is 20204444.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 378011 + ... + 389589.

It is an arithmetic number, because the mean of its divisors is an integer number (114424875).

Almost surely, 24444020200 is an apocalyptic number.

4444020200 is a gapful number since it is divisible by the number (40) 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 4444020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492394000).

4444020200 is an abundant number, since it is smaller than the sum of its proper divisors (6540767800).

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

4444020200 is a wasteful number, since it uses less digits than its factorization.

4444020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4444020200 is about 66663.4847573992. The cubic root of 4444020200 is about 1644.0890673838.

Adding to 4444020200 its reverse (20204444), we get a palindrome (4464224644).

The spelling of 4444020200 in words is "four billion, four hundred forty-four million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 101 152 190 200 202 380 404 475 505 760 808 950 1010 1900 1919 2020 2525 3800 3838 4040 5050 7676 9595 10100 11579 15352 19190 20200 23158 38380 46316 47975 57895 76760 92632 95950 115790 191900 220001 231580 289475 383800 440002 463160 578950 880004 1100005 1157900 1169479 1760008 2200010 2315800 2338958 4400020 4677916 5500025 5847395 8800040 9355832 11000050 11694790 22000100 22220101 23389580 29236975 44000200 44440202 46779160 58473950 88880404 111100505 116947900 177760808 222201010 233895800 444402020 555502525 888804040 1111005050 2222010100 4444020200