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4402440020 = 22511176717569
BaseRepresentation
bin1000001100110011…
…11110011101010100
3102100210222010101002
410012121332131110
533004011040040
62004503322432
7214045060046
oct40631763524
912323863332
104402440020
11195a076390
12a2a450418
135521087c4
142da991a96
151ab76ba15
hex10667e754

4402440020 has 96 divisors (see below), whose sum is σ = 10838862720. Its totient is φ = 1484144640.

The previous prime is 4402440019. The next prime is 4402440047. The reversal of 4402440020 is 200442044.

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

It is a junction number, because it is equal to n+sod(n) for n = 4402439974 and 4402440001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241796 + ... + 259364.

It is an arithmetic number, because the mean of its divisors is an integer number (112904820).

Almost surely, 24402440020 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 4402440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419431360).

4402440020 is an abundant number, since it is smaller than the sum of its proper divisors (6436422700).

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

4402440020 is a wasteful number, since it uses less digits than its factorization.

4402440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17673 (or 17671 counting only the distinct ones).

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

The square root of 4402440020 is about 66350.8856007213. The cubic root of 4402440020 is about 1638.9453883006.

Adding to 4402440020 its reverse (200442044), we get a palindrome (4602882064).

The spelling of 4402440020 in words is "four billion, four hundred two million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 67 68 85 110 134 170 187 220 268 335 340 374 670 737 748 935 1139 1340 1474 1870 2278 2948 3685 3740 4556 5695 7370 11390 12529 14740 17569 22780 25058 35138 50116 62645 70276 87845 125290 175690 193259 250580 298673 351380 386518 597346 773036 966295 1177123 1194692 1493365 1932590 2354246 2986730 3285403 3865180 4708492 5885615 5973460 6570806 11771230 12948353 13141612 16427015 20011091 23542460 25896706 32854030 40022182 51793412 64741765 65708060 80044364 100055455 129483530 200110910 220122001 258967060 400221820 440244002 880488004 1100610005 2201220010 4402440020