Search a number
-
+
4068768256 = 2975212179
BaseRepresentation
bin1111001010000100…
…0111101000000000
3101111120002211202121
43302201013220000
531313101041011
61511423454024
7202553650060
oct36241075000
911446084677
104068768256
1117a87938a3
12956757314
134cac4b6a7
142a85353a0
1518c30ae71
hexf2847a00

4068768256 has 80 divisors (see below), whose sum is σ = 9313064640. Its totient is φ = 1739612160.

The previous prime is 4068768251. The next prime is 4068768313. The reversal of 4068768256 is 6528678604.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4068768251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866175 + ... + 1868353.

It is an arithmetic number, because the mean of its divisors is an integer number (116413308).

Almost surely, 24068768256 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 4068768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656532320).

4068768256 is an abundant number, since it is smaller than the sum of its proper divisors (5244296384).

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

4068768256 is an equidigital number, since it uses as much as digits as its factorization.

4068768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The square root of 4068768256 is about 63786.8972125154. The cubic root of 4068768256 is about 1596.4463129111.

The spelling of 4068768256 in words is "four billion, sixty-eight million, seven hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 521 896 1042 1792 2084 2179 3584 3647 4168 4358 7294 8336 8716 14588 15253 16672 17432 29176 30506 33344 34864 58352 61012 66688 69728 116704 122024 133376 139456 233408 244048 266752 278912 466816 488096 557824 933632 976192 1115648 1135259 1867264 1952384 2270518 3904768 4541036 7809536 7946813 9082072 15893626 18164144 31787252 36328288 63574504 72656576 127149008 145313152 254298016 290626304 508596032 581252608 1017192064 2034384128 4068768256