Search a number
-
+
4486394496 = 273412331223
BaseRepresentation
bin1000010110110100…
…01111001010000000
3102120122221110021010
410023122033022000
533142004110441
62021103000520
7216114503223
oct41332171200
912518843233
104486394496
1119a24a8651
12a52599140
13566621acc
14307ba75ba
151b3d02116
hex10b68f280

4486394496 has 128 divisors (see below), whose sum is σ = 12270061440. Its totient is φ = 1451540480.

The previous prime is 4486394491. The next prime is 4486394501. The reversal of 4486394496 is 6944936844.

It is an interprime number because it is at equal distance from previous prime (4486394491) and next prime (4486394501).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4486394491) 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 15 ways as a sum of consecutive naturals, for example, 3667741 + ... + 3668963.

It is an arithmetic number, because the mean of its divisors is an integer number (95859855).

Almost surely, 24486394496 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 4486394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135030720).

4486394496 is an abundant number, since it is smaller than the sum of its proper divisors (7783666944).

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

4486394496 is a wasteful number, since it uses less digits than its factorization.

4486394496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1502 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The square root of 4486394496 is about 66980.5531180506. The cubic root of 4486394496 is about 1649.2980786670.

The spelling of 4486394496 in words is "four billion, four hundred eighty-six million, three hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 233 246 328 384 466 492 656 699 932 984 1223 1312 1398 1864 1968 2446 2624 2796 3669 3728 3936 4892 5248 5592 7338 7456 7872 9553 9784 11184 14676 14912 15744 19106 19568 22368 28659 29352 29824 38212 39136 44736 50143 57318 58704 76424 78272 89472 100286 114636 117408 150429 152848 156544 200572 229272 234816 284959 300858 305696 401144 458544 469632 569918 601716 611392 802288 854877 917088 1139836 1203432 1222784 1604576 1709754 1834176 2279672 2406864 3209152 3419508 3668352 4559344 4813728 6418304 6839016 9118688 9627456 11683319 13678032 18237376 19254912 23366638 27356064 35049957 36474752 46733276 54712128 70099914 93466552 109424256 140199828 186933104 280399656 373866208 560799312 747732416 1121598624 1495464832 2243197248 4486394496