Search a number
-
+
4481990160 = 2435178912343
BaseRepresentation
bin1000010110010010…
…11011111000010000
3102120100122200122120
410023021123320100
533134342141120
62020424334240
7216032200464
oct41311337020
912510580576
104481990160
11199aa6a5aa
12a51014380
1356573c1ab
1430737c4a4
151b3732140
hex10b25be10

4481990160 has 160 divisors (see below), whose sum is σ = 14877976320. Its totient is φ = 1112162304.

The previous prime is 4481990089. The next prime is 4481990167. The reversal of 4481990160 is 610991844.

It is not an unprimeable number, because it can be changed into a prime (4481990167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356949 + ... + 369291.

It is an arithmetic number, because the mean of its divisors is an integer number (92987352).

Almost surely, 24481990160 is an apocalyptic number.

4481990160 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 4481990160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438988160).

4481990160 is an abundant number, since it is smaller than the sum of its proper divisors (10395986160).

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

4481990160 is a wasteful number, since it uses less digits than its factorization.

4481990160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 4481990160 is about 66947.6673230666. The cubic root of 4481990160 is about 1648.7581914389.

The spelling of 4481990160 in words is "four billion, four hundred eighty-one million, nine hundred ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 89 102 120 136 170 178 204 240 255 267 272 340 356 408 445 510 534 680 712 816 890 1020 1068 1335 1360 1424 1513 1780 2040 2136 2670 3026 3560 4080 4272 4539 5340 6052 7120 7565 9078 10680 12104 12343 15130 18156 21360 22695 24208 24686 30260 36312 37029 45390 49372 60520 61715 72624 74058 90780 98744 121040 123430 148116 181560 185145 197488 209831 246860 296232 363120 370290 419662 493720 592464 629493 740580 839324 987440 1049155 1098527 1258986 1481160 1678648 2098310 2197054 2517972 2962320 3147465 3295581 3357296 4196620 4394108 5035944 5492635 6294930 6591162 8393240 8788216 10071888 10985270 12589860 13182324 16477905 16786480 17576432 18674959 21970540 25179720 26364648 32955810 37349918 43941080 50359440 52729296 56024877 65911620 74699836 87882160 93374795 112049754 131823240 149399672 186749590 224099508 263646480 280124385 298799344 373499180 448199016 560248770 746998360 896398032 1120497540 1493996720 2240995080 4481990160