Search a number
-
+
4761886944 = 253417316573
BaseRepresentation
bin1000110111101010…
…01010000011100000
3110021212022220212010
410123311022003200
534223020340234
62104303432520
7226001241213
oct43365120340
913255286763
104761886944
112023a63161
12b0a8b5740
135ab71b8a9
143325db77a
151cd0be6e9
hex11bd4a0e0

4761886944 has 96 divisors (see below), whose sum is σ = 12981021984. Its totient is φ = 1527275520.

The previous prime is 4761886901. The next prime is 4761886973. The reversal of 4761886944 is 4496881674.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279042 + ... + 295614.

It is an arithmetic number, because the mean of its divisors is an integer number (135218979).

Almost surely, 24761886944 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 4761886944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490510992).

4761886944 is an abundant number, since it is smaller than the sum of its proper divisors (8219135040).

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

4761886944 is a wasteful number, since it uses less digits than its factorization.

4761886944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700 (or 16692 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 4761886944 is about 69006.4268311293. The cubic root of 4761886944 is about 1682.3887673697.

The spelling of 4761886944 in words is "four billion, seven hundred sixty-one million, eight hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 73 82 96 123 146 164 219 246 292 328 438 492 584 656 876 984 1168 1312 1752 1968 2336 2993 3504 3936 5986 7008 8979 11972 16573 17958 23944 33146 35916 47888 49719 66292 71832 95776 99438 132584 143664 198876 265168 287328 397752 530336 679493 795504 1209829 1358986 1591008 2038479 2419658 2717972 3629487 4076958 4839316 5435944 7258974 8153916 9678632 10871888 14517948 16307832 19357264 21743776 29035896 32615664 38714528 49602989 58071792 65231328 99205978 116143584 148808967 198411956 297617934 396823912 595235868 793647824 1190471736 1587295648 2380943472 4761886944