Search a number
-
+
49096940800 = 285223333539
BaseRepresentation
bin101101101110011001…
…111101110100000000
311200201122120000021211
4231232121331310000
51301022304101200
634315501455504
73355445053045
oct555631756400
9150648500254
1049096940800
1119904a41336
129622571594
134825944a7b
14253a8191cc
151425461aba
hexb6e67dd00

49096940800 has 108 divisors (see below), whose sum is σ = 126806571360. Its totient is φ = 18784860160.

The previous prime is 49096940791. The next prime is 49096940819. The reversal of 49096940800 is 804969094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19570 + ... + 313969.

It is an arithmetic number, because the mean of its divisors is an integer number (1174134920).

Almost surely, 249096940800 is an apocalyptic number.

49096940800 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 49096940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63403285680).

49096940800 is an abundant number, since it is smaller than the sum of its proper divisors (77709630560).

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

49096940800 is a wasteful number, since it uses less digits than its factorization.

49096940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333588 (or 333569 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 49096940800 in words is "forty-nine billion, ninety-six million, nine hundred forty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 256 320 368 400 460 575 640 736 800 920 1150 1280 1472 1600 1840 2300 2944 3200 3680 4600 5888 6400 7360 9200 14720 18400 29440 36800 73600 147200 333539 667078 1334156 1667695 2668312 3335390 5336624 6670780 7671397 8338475 10673248 13341560 15342794 16676950 21346496 26683120 30685588 33353900 38356985 42692992 53366240 61371176 66707800 76713970 85385984 106732480 122742352 133415600 153427940 191784925 213464960 245484704 266831200 306855880 383569850 426929920 490969408 533662400 613711760 767139700 981938816 1067324800 1227423520 1534279400 1963877632 2134649600 2454847040 3068558800 4909694080 6137117600 9819388160 12274235200 24548470400 49096940800