Search a number
-
+
4159029328 = 241719777617
BaseRepresentation
bin1111011111100101…
…1100000001010000
3101201211221120200021
43313321130001100
532004202414303
61524410233224
7205031110636
oct36771340120
911654846607
104159029328
111844733323
12980a25814
135138623cc
142b650d356
151951d9ebd
hexf7e5c050

4159029328 has 40 divisors (see below), whose sum is σ = 8575547112. Its totient is φ = 1947230208.

The previous prime is 4159029307. The next prime is 4159029337. The reversal of 4159029328 is 8239209514.

4159029328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2669995584 + 1489033744 = 51672^2 + 38588^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14776 + ... + 92392.

Almost surely, 24159029328 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 4159029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287773556).

4159029328 is an abundant number, since it is smaller than the sum of its proper divisors (4416517784).

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

4159029328 is a wasteful number, since it uses less digits than its factorization.

4159029328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77839 (or 77833 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 4159029328 is about 64490.5367321439. The cubic root of 4159029328 is about 1608.1652037720.

The spelling of 4159029328 in words is "four billion, one hundred fifty-nine million, twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 197 272 394 788 1576 3152 3349 6698 13396 26792 53584 77617 155234 310468 620936 1241872 1319489 2638978 5277956 10555912 15290549 21111824 30581098 61162196 122324392 244648784 259939333 519878666 1039757332 2079514664 4159029328