Search a number
-
+
4124482180 = 2257132473709
BaseRepresentation
bin1111010111010110…
…1001101010000100
3101122102221101220021
43311311221222010
531421331412210
61521133544524
7204131343250
oct36565515204
911572841807
104124482180
111827187565
12971345144
13509657800
142b1ab9260
15192163bda
hexf5d69a84

4124482180 has 144 divisors (see below), whose sum is σ = 10949783040. Its totient is φ = 1277213184.

The previous prime is 4124482177. The next prime is 4124482181. The reversal of 4124482180 is 812844214.

It is a super-2 number, since 2×41244821802 = 34022706506275104800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4124482181) 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, 1110166 + ... + 1113874.

It is an arithmetic number, because the mean of its divisors is an integer number (76040160).

Almost surely, 24124482180 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 4124482180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474891520).

4124482180 is an abundant number, since it is smaller than the sum of its proper divisors (6825300860).

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

4124482180 is a wasteful number, since it uses less digits than its factorization.

4124482180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 4124482180 is about 64222.1315435730. The cubic root of 4124482180 is about 1603.7000540916.

The spelling of 4124482180 in words is "four billion, one hundred twenty-four million, four hundred eighty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 169 182 188 235 260 329 338 364 455 470 611 658 676 845 910 940 1183 1222 1316 1645 1690 1820 2366 2444 3055 3290 3380 3709 4277 4732 5915 6110 6580 7418 7943 8554 11830 12220 14836 15886 17108 18545 21385 23660 25963 31772 37090 39715 42770 48217 51926 55601 74180 79430 85540 96434 103852 111202 129815 158860 174323 192868 222404 241085 259630 278005 337519 348646 482170 519260 556010 626821 675038 697292 871615 964340 1112020 1220261 1253642 1350076 1687595 1743230 2266199 2440522 2507284 3134105 3375190 3486460 4387747 4532398 4881044 6101305 6268210 6750380 8775494 9064796 11330995 12202610 12536420 15863393 17550988 21938735 22661990 24405220 29460587 31726786 43877470 45323980 58921174 63453572 79316965 87754940 117842348 147302935 158633930 206224109 294605870 317267860 412448218 589211740 824896436 1031120545 2062241090 4124482180