Search a number
-
+
4420660244 = 227211131091447
BaseRepresentation
bin1000001110111110…
…11110110000010100
3102102002020210211012
410013133132300110
533023142111434
62010354031352
7214355664200
oct40737366024
912362223735
104420660244
111969390520
12a34578558
13555b17ac0
142dd175b00
151ad16a3ce
hex1077dec14

4420660244 has 144 divisors (see below), whose sum is σ = 10676856960. Its totient is φ = 1574173440.

The previous prime is 4420660243. The next prime is 4420660253.

4420660244 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4420660244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420660243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3054329 + ... + 3055775.

It is an arithmetic number, because the mean of its divisors is an integer number (74144840).

Almost surely, 24420660244 is an apocalyptic number.

4420660244 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 4420660244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338428480).

4420660244 is an abundant number, since it is smaller than the sum of its proper divisors (6256196716).

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

4420660244 is a wasteful number, since it uses less digits than its factorization.

4420660244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4420660244 is about 66488.0458729237. The cubic root of 4420660244 is about 1641.2032915103.

The spelling of 4420660244 in words is "four billion, four hundred twenty million, six hundred sixty thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 109 143 154 182 196 218 286 308 364 436 539 572 637 763 1001 1078 1199 1274 1417 1447 1526 2002 2156 2398 2548 2834 2894 3052 4004 4796 5341 5668 5788 7007 8393 9919 10129 10682 14014 15587 15917 16786 18811 19838 20258 21364 28028 31174 31834 33572 37622 39676 40516 58751 62348 63668 69433 70903 75244 109109 111419 117502 131677 138866 141806 157723 206921 218218 222838 235004 263354 277732 283612 315446 413842 436436 445676 526708 630892 763763 779933 827684 921739 1104061 1448447 1527526 1559866 1734953 1843478 2050399 2208122 2896894 3055052 3119732 3469906 3686956 4100798 4416244 5793788 6939812 7728427 8201596 10139129 12144671 14352793 15456854 20278258 22554389 24289342 28705586 30913708 40556516 45108778 48578684 57411172 85012697 90217556 100469551 157880723 170025394 200939102 315761446 340050788 401878204 631522892 1105165061 2210330122 4420660244