Search a number
-
+
4466303240 = 2357179191021
BaseRepresentation
bin1000010100011011…
…00110000100001000
3102112021010201020112
410022031212010020
533121333200430
62015104213452
7215451644150
oct41215460410
912467121215
104466303240
111992125803
12a4790a288
13562408ca9
14305257760
151b2184195
hex10a366108

4466303240 has 128 divisors (see below), whose sum is σ = 12185510400. Its totient is φ = 1438248960.

The previous prime is 4466303159. The next prime is 4466303249. The reversal of 4466303240 is 423036644.

It is a junction number, because it is equal to n+sod(n) for n = 4466303197 and 4466303206.

It is not an unprimeable number, because it can be changed into a prime (4466303249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373930 + ... + 4374950.

It is an arithmetic number, because the mean of its divisors is an integer number (95199300).

Almost surely, 24466303240 is an apocalyptic number.

4466303240 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 4466303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092755200).

4466303240 is an abundant number, since it is smaller than the sum of its proper divisors (7719207160).

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

4466303240 is a wasteful number, since it uses less digits than its factorization.

4466303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 4466303240 is about 66830.4065527062. The cubic root of 4466303240 is about 1646.8323972983.

Adding to 4466303240 its reverse (423036644), we get a palindrome (4889339884).

The spelling of 4466303240 in words is "four billion, four hundred sixty-six million, three hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 919 952 1021 1190 1838 2042 2380 3676 4084 4595 4760 5105 6433 7147 7352 8168 9190 10210 12866 14294 15623 17357 18380 20420 25732 28588 31246 32165 34714 35735 36760 40840 51464 57176 62492 64330 69428 71470 78115 86785 109361 121499 124984 128660 138856 142940 156230 173570 218722 242998 257320 285880 312460 347140 437444 485996 546805 607495 624920 694280 874888 938299 971992 1093610 1214990 1876598 2187220 2429980 3753196 4374440 4691495 4859960 6568093 7506392 9382990 13136186 15951083 18765980 26272372 31902166 32840465 37531960 52544744 63804332 65680930 79755415 111657581 127608664 131361860 159510830 223315162 262723720 319021660 446630324 558287905 638043320 893260648 1116575810 2233151620 4466303240