Search a number
-
+
438481620 = 223351942737
BaseRepresentation
bin11010001000101…
…011001011010100
31010120002011201000
4122020223023110
51344222402440
6111302103300
713603014033
oct3210531324
91116064630
10438481620
11205569805
12102a1ab30
136cac5ca5
144234071a
1528765730
hex1a22b2d4

438481620 has 96 divisors (see below), whose sum is σ = 1435996800. Its totient is φ = 110771712.

The previous prime is 438481619. The next prime is 438481661. The reversal of 438481620 is 26184834.

It is a super-2 number, since 2×4384816202 = 384532262155648800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11109 + ... + 31628.

It is an arithmetic number, because the mean of its divisors is an integer number (14958300).

Almost surely, 2438481620 is an apocalyptic number.

It is an amenable number.

438481620 is an abundant number, since it is smaller than the sum of its proper divisors (997515180).

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

438481620 is a wasteful number, since it uses less digits than its factorization.

438481620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42774 (or 42766 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 438481620 is about 20939.9527220097. The cubic root of 438481620 is about 759.7145858100.

It can be divided in two parts, 4384816 and 20, that added together give a square (4384836 = 20942).

The spelling of 438481620 in words is "four hundred thirty-eight million, four hundred eighty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 42737 85474 128211 170948 213685 256422 384633 427370 512844 641055 769266 812003 854740 1153899 1282110 1538532 1624006 1923165 2307798 2436009 2564220 3248012 3846330 4060015 4615596 4872018 5769495 7308027 7692660 8120030 9744036 11538990 12180045 14616054 16240060 21924081 23077980 24360090 29232108 36540135 43848162 48720180 73080270 87696324 109620405 146160540 219240810 438481620