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4438338768 = 2432229134593
BaseRepresentation
bin1000010001000101…
…11010110011010000
3102110022111222012100
410020202322303100
533042203320033
62012225000400
7214662154113
oct41042726320
912408458170
104438338768
111978365676
12a3a483100
13559697676
1430165857a
151ae9ad513
hex1088bacd0

4438338768 has 60 divisors (see below), whose sum is σ = 12475517860. Its totient is φ = 1472974848.

The previous prime is 4438338677. The next prime is 4438338769. The reversal of 4438338768 is 8678338344.

It can be written as a sum of positive squares in 2 ways, for example, as 2655134784 + 1783203984 = 51528^2 + 42228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4438338769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34321 + ... + 100272.

Almost surely, 24438338768 is an apocalyptic number.

4438338768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4438338768 is an abundant number, since it is smaller than the sum of its proper divisors (8037179092).

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

4438338768 is a wasteful number, since it uses less digits than its factorization.

4438338768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134836 (or 134827 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4438338768 is about 66620.8583553229. The cubic root of 4438338768 is about 1643.3881432053.

It can be divided in two parts, 4438 and 338768, that added together give a triangular number (343206 = T828).

The spelling of 4438338768 in words is "four billion, four hundred thirty-eight million, three hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 134593 269186 403779 538372 807558 1076744 1211337 1615116 2153488 2422674 3230232 4845348 6460464 9690696 19381392 30821797 61643594 92465391 123287188 184930782 246574376 277396173 369861564 493148752 554792346 739723128 1109584692 1479446256 2219169384 4438338768