Search a number
-
+
4289730516 = 2237490367
BaseRepresentation
bin1111111110110000…
…0001011111010100
3102001221212220000000
43333230001133110
532241132334031
61545355451300
7211206051651
oct37754013724
912057786000
104289730516
111901494035
129b8756b30
135349650a6
142c9a12c28
151a19063e6
hexffb017d4

4289730516 has 48 divisors (see below), whose sum is σ = 11258849280. Its totient is φ = 1429907256.

The previous prime is 4289730499. The next prime is 4289730517. The reversal of 4289730516 is 6150379824.

4289730516 is a `hidden beast` number, since 42 + 8 + 97 + 3 + 0 + 516 = 666.

4289730516 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42897305163 (a number of 30 digits) contains 333 as substring.

4289730516 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289730517) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 236436 + ... + 253931.

It is an arithmetic number, because the mean of its divisors is an integer number (234559360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4289730516 = 8579461032, but 3⋅4289730516 = 12869191548 is not.

Almost surely, 24289730516 is an apocalyptic number.

It is an amenable number.

4289730516 is an abundant number, since it is smaller than the sum of its proper divisors (6969118764).

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

4289730516 is an equidigital number, since it uses as much as digits as its factorization.

4289730516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490392 (or 490372 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4289730516 is about 65496.0343532339. The cubic root of 4289730516 is about 1624.8377609703.

The spelling of 4289730516 in words is "four billion, two hundred eighty-nine million, seven hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 490367 980734 1471101 1961468 2942202 4413303 5884404 8826606 13239909 17653212 26479818 39719727 52959636 79439454 119159181 158878908 238318362 357477543 476636724 714955086 1072432629 1429910172 2144865258 4289730516