Search a number
-
+
4493366944 = 251124724691
BaseRepresentation
bin1000010111101001…
…10101011010100000
3102121011001200122221
410023310311122200
533200300220234
62021512240424
7216230663113
oct41364653240
912534050587
104493366944
1119a6430100
12a549a0114
13567bc3611
14308aa057a
151b472ceb4
hex10bd356a0

4493366944 has 72 divisors (see below), whose sum is σ = 9930924864. Its totient is φ = 1998902400.

The previous prime is 4493366909. The next prime is 4493366953. The reversal of 4493366944 is 4496633944.

It is a junction number, because it is equal to n+sod(n) for n = 4493366891 and 4493366900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169639 + ... + 194329.

It is an arithmetic number, because the mean of its divisors is an integer number (137929512).

Almost surely, 24493366944 is an apocalyptic number.

4493366944 is a gapful number since it is divisible by the number (44) 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 4493366944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965462432).

4493366944 is an abundant number, since it is smaller than the sum of its proper divisors (5437557920).

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

4493366944 is a wasteful number, since it uses less digits than its factorization.

4493366944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24770 (or 24751 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 52.

The square root of 4493366944 is about 67032.5812124224. The cubic root of 4493366944 is about 1650.1520452481.

The spelling of 4493366944 in words is "four billion, four hundred ninety-three million, three hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 121 176 188 242 352 376 484 517 752 968 1034 1504 1936 2068 3872 4136 5687 8272 11374 16544 22748 24691 45496 49382 90992 98764 181984 197528 271601 395056 543202 790112 1086404 1160477 2172808 2320954 2987611 4345616 4641908 5975222 8691232 9283816 11950444 12765247 18567632 23900888 25530494 37135264 47801776 51060988 95603552 102121976 140417717 204243952 280835434 408487904 561670868 1123341736 2246683472 4493366944