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4059728656 = 241729372
BaseRepresentation
bin1111000111111010…
…1000101100010000
3101110221002120202121
43301332220230100
531303242304111
61510502024024
7202414060414
oct36176505420
911427076677
104059728656
1117a367a255
12953718014
134c9105009
142a7260d44
1518b622871
hexf1fa8b10

4059728656 has 45 divisors (see below), whose sum is σ = 8364557919. Its totient is φ = 1908421632.

The previous prime is 4059728587. The next prime is 4059728657. The reversal of 4059728656 is 6568279504.

The square root of 4059728656 is 63716.

It is a perfect power (a square), and thus also a powerful number.

4059728656 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 265168656 + 3794560000 = 16284^2 + 61600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4059728657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4332220 + ... + 4333156.

Almost surely, 24059728656 is an apocalyptic number.

4059728656 is the 63716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4059728656

4059728656 is an abundant number, since it is smaller than the sum of its proper divisors (4304829263).

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

4059728656 is an frugal number, since it uses more digits than its factorization.

4059728656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The cubic root of 4059728656 is about 1595.2631590502.

The spelling of 4059728656 in words is "four billion, fifty-nine million, seven hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 937 1156 1874 2312 3748 4624 7496 14992 15929 31858 63716 127432 254864 270793 541586 877969 1083172 1755938 2166344 3511876 4332688 7023752 14047504 14925473 29850946 59701892 119403784 238807568 253733041 507466082 1014932164 2029864328 4059728656