Search a number
-
+
494242944 = 27313181547
BaseRepresentation
bin11101011101011…
…000110010000000
31021110000010212020
4131131120302000
52003011233234
6121013201440
715150665346
oct3535306200
91243003766
10494242944
11233a95048
12119630280
137b51a860
14498d7996
152d5cc549
hex1d758c80

494242944 has 128 divisors (see below), whose sum is σ = 1424230080. Its totient is φ = 150958080.

The previous prime is 494242943. The next prime is 494242961. The reversal of 494242944 is 449242494.

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

It is a junction number, because it is equal to n+sod(n) for n = 494242896 and 494242905.

It is not an unprimeable number, because it can be changed into a prime (494242943) 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, 903279 + ... + 903825.

Almost surely, 2494242944 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 494242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712115040).

494242944 is an abundant number, since it is smaller than the sum of its proper divisors (929987136).

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

494242944 is a wasteful number, since it uses less digits than its factorization.

494242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 494242944 is about 22231.5753827748. The cubic root of 494242944 is about 790.6425067369.

The spelling of 494242944 in words is "four hundred ninety-four million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 181 192 208 312 362 384 416 543 547 624 724 832 1086 1094 1248 1448 1641 1664 2172 2188 2353 2496 2896 3282 4344 4376 4706 4992 5792 6564 7059 7111 8688 8752 9412 11584 13128 14118 14222 17376 17504 18824 21333 23168 26256 28236 28444 34752 35008 37648 42666 52512 56472 56888 69504 70016 75296 85332 99007 105024 112944 113776 150592 170664 198014 210048 225888 227552 297021 301184 341328 396028 451776 455104 594042 682656 792056 903552 910208 1188084 1287091 1365312 1584112 2376168 2574182 2730624 3168224 3861273 4752336 5148364 6336448 7722546 9504672 10296728 12672896 15445092 19009344 20593456 30890184 38018688 41186912 61780368 82373824 123560736 164747648 247121472 494242944