Search a number
-
+
2803961472 = 27313243207
BaseRepresentation
bin1010011100100001…
…0000111010000000
321020102011000000220
42213020100322000
521220303231342
61142122343040
7126325164534
oct24710207200
97212130026
102803961472
111209843834
1266305aa80
13358bb6400
141c8575bc4
1511626d5ec
hexa7210e80

2803961472 has 96 divisors (see below), whose sum is σ = 8065205280. Its totient is φ = 862737408.

The previous prime is 2803961471. The next prime is 2803961477. The reversal of 2803961472 is 2741693082.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2803961471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43293 + ... + 86499.

It is an arithmetic number, because the mean of its divisors is an integer number (84012555).

Almost surely, 22803961472 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 2803961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032602640).

2803961472 is an abundant number, since it is smaller than the sum of its proper divisors (5261243808).

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

2803961472 is a wasteful number, since it uses less digits than its factorization.

2803961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43250 (or 43225 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2803961472 is about 52952.4453826261. The cubic root of 2803961472 is about 1410.1241397668.

The spelling of 2803961472 in words is "two billion, eight hundred three million, nine hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 43207 64896 86414 129621 172828 259242 345656 518484 561691 691312 1036968 1123382 1382624 1685073 2073936 2246764 2765248 3370146 4147872 4493528 5530496 6740292 7301983 8295744 8987056 13480584 14603966 16591488 17974112 21905949 26961168 29207932 35948224 43811898 53922336 58415864 71896448 87623796 107844672 116831728 175247592 215689344 233663456 350495184 467326912 700990368 934653824 1401980736 2803961472