Search a number
-
+
4643609904 = 243343457547
BaseRepresentation
bin1000101001100011…
…11101110100110000
3102222121202211021000
410110301331310300
534002231004104
62044440402000
7223034014203
oct42461756460
912877684230
104643609904
111a7321893a
12a97176300
13590078c8b
14320a0d93a
151c2a09639
hex114c7dd30

4643609904 has 160 divisors (see below), whose sum is σ = 13693687040. Its totient is φ = 1505806848.

The previous prime is 4643609903. The next prime is 4643609911. The reversal of 4643609904 is 4099063464.

It is a happy number.

It is a super-2 number, since 2×46436099042 = 43126225881053778432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4643609904.

It is not an unprimeable number, because it can be changed into a prime (4643609903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8488959 + ... + 8489505.

It is an arithmetic number, because the mean of its divisors is an integer number (85585544).

Almost surely, 24643609904 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 4643609904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846843520).

4643609904 is an abundant number, since it is smaller than the sum of its proper divisors (9050077136).

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

4643609904 is a wasteful number, since it uses less digits than its factorization.

4643609904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4643609904 is about 68144.0379196889. The cubic root of 4643609904 is about 1668.3426137471.

The spelling of 4643609904 in words is "four billion, six hundred forty-three million, six hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 457 516 547 688 774 914 1032 1094 1161 1371 1548 1641 1828 2064 2188 2322 2742 3096 3282 3656 4113 4376 4644 4923 5484 6192 6564 7312 8226 8752 9288 9846 10968 12339 13128 14769 16452 18576 19651 19692 21936 23521 24678 26256 29538 32904 39302 39384 47042 49356 58953 59076 65808 70563 78604 78768 94084 98712 117906 118152 141126 157208 176859 188168 197424 211689 235812 236304 249979 282252 314416 353718 376336 423378 471624 499958 530577 564504 635067 707436 749937 846756 943248 999916 1061154 1129008 1270134 1414872 1499874 1693512 1999832 2122308 2249811 2540268 2829744 2999748 3387024 3999664 4244616 4499622 5080536 5999496 6749433 8489232 8999244 10161072 10749097 11998992 13498866 17998488 21498194 26997732 32247291 35996976 42996388 53995464 64494582 85992776 96741873 107990928 128989164 171985552 193483746 257978328 290225619 386967492 515956656 580451238 773934984 1160902476 1547869968 2321804952 4643609904