Search a number
-
+
4839143680 = 28574871109
BaseRepresentation
bin1001000000110111…
…10111100100000000
3110111020200222011201
410200123313210000
534402310044210
62120103350544
7230630020420
oct44033674400
913436628151
104839143680
1120636302a8
12b30752454
135c172b437
1433c98c480
151d4c8053a
hex1206f7900

4839143680 has 144 divisors (see below), whose sum is σ = 13286327040. Its totient is φ = 1654235136.

The previous prime is 4839143677. The next prime is 4839143693. The reversal of 4839143680 is 863419384.

It is a self number, because there is not a number n which added to its sum of digits gives 4839143680.

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 15 ways as a sum of consecutive naturals, for example, 4362966 + ... + 4364074.

It is an arithmetic number, because the mean of its divisors is an integer number (92266160).

Almost surely, 24839143680 is an apocalyptic number.

4839143680 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 4839143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643163520).

4839143680 is an abundant number, since it is smaller than the sum of its proper divisors (8447183360).

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

4839143680 is a wasteful number, since it uses less digits than its factorization.

4839143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 4839143680 is about 69563.9538841777. The cubic root of 4839143680 is about 1691.4383469295.

The spelling of 4839143680 in words is "four billion, eight hundred thirty-nine million, one hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 487 560 640 896 974 1109 1120 1280 1792 1948 2218 2240 2435 3409 3896 4436 4480 4870 5545 6818 7763 7792 8872 8960 9740 11090 13636 15526 15584 17045 17744 19480 22180 27272 31052 31168 34090 35488 38815 38960 44360 54544 62104 62336 68180 70976 77630 77920 88720 109088 124208 124672 136360 141952 155260 155840 177440 218176 248416 272720 283904 310520 311680 354880 436352 496832 540083 545440 621040 623360 709760 872704 993664 1080166 1090880 1242080 1419520 1987328 2160332 2181760 2484160 2700415 3780581 4320664 4363520 4968320 5400830 7561162 8641328 9936640 10801660 15122324 17282656 18902905 21603320 30244648 34565312 37805810 43206640 60489296 69130624 75611620 86413280 120978592 138261248 151223240 172826560 241957184 302446480 345653120 483914368 604892960 691306240 967828736 1209785920 2419571840 4839143680