Search a number
-
+
244418790 = 23571129619
BaseRepresentation
bin11101001000110…
…00100011100110
3122000220202112210
432210120203212
51000032400130
640130424250
76025345140
oct1644304346
9560822483
10244418790
11115a71500
1269a32086
133b83a205
1424665c90
15166d05b0
hexe9188e6

244418790 has 96 divisors (see below), whose sum is σ = 736968960. Its totient is φ = 50783040.

The previous prime is 244418789. The next prime is 244418791. The reversal of 244418790 is 97814442.

It is an interprime number because it is at equal distance from previous prime (244418789) and next prime (244418791).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244418791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20601 + ... + 30219.

It is an arithmetic number, because the mean of its divisors is an integer number (7676760).

Almost surely, 2244418790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244418790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368484480).

244418790 is an abundant number, since it is smaller than the sum of its proper divisors (492550170).

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

244418790 is a wasteful number, since it uses less digits than its factorization.

244418790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 244418790 is about 15633.8987459942. The cubic root of 244418790 is about 625.2372773744.

The spelling of 244418790 in words is "two hundred forty-four million, four hundred eighteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 1155 1210 1694 1815 2310 2541 3630 4235 5082 8470 9619 12705 19238 25410 28857 48095 57714 67333 96190 105809 134666 144285 201999 211618 288570 317427 336665 403998 529045 634854 673330 740663 1009995 1058090 1163899 1481326 1587135 2019990 2221989 2327798 3174270 3491697 3703315 4443978 5819495 6983394 7406630 8147293 11109945 11638990 16294586 17458485 22219890 24441879 34916970 40736465 48883758 81472930 122209395 244418790