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494469144 = 233313293601
BaseRepresentation
bin11101011110010…
…000000000011000
31021110102122011000
4131132100000120
52003041003034
6121022105000
715152630001
oct3536200030
91243378130
10494469144
11234129a94
1211971b160
137b5997c0
14499561a8
152d624599
hex1d790018

494469144 has 128 divisors (see below), whose sum is σ = 1486699200. Its totient is φ = 151372800.

The previous prime is 494469049. The next prime is 494469197. The reversal of 494469144 is 441964494.

It can be divided in two parts, 4944 and 69144, that added together give a cube (74088 = 423).

494469144 is a `hidden beast` number, since 49 + 4 + 469 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 494469144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822444 + ... + 823044.

Almost surely, 2494469144 is an apocalyptic number.

494469144 is the 14064-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494469144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743349600).

494469144 is an abundant number, since it is smaller than the sum of its proper divisors (992230056).

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

494469144 is a wasteful number, since it uses less digits than its factorization.

494469144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 494469144 is about 22236.6621595958. The cubic root of 494469144 is about 790.7631060362.

The spelling of 494469144 in words is "four hundred ninety-four million, four hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 293 312 351 468 586 601 702 879 936 1172 1202 1404 1758 1803 2344 2404 2637 2808 3516 3606 3809 4808 5274 5409 7032 7212 7618 7813 7911 10548 10818 11427 14424 15236 15626 15822 16227 21096 21636 22854 23439 30472 31252 31644 32454 34281 43272 45708 46878 62504 63288 64908 68562 70317 91416 93756 102843 129816 137124 140634 176093 187512 205686 210951 274248 281268 352186 411372 421902 528279 562536 704372 822744 843804 1056558 1408744 1584837 1687608 2113116 2289209 3169674 4226232 4578418 4754511 6339348 6867627 9156836 9509022 12678696 13735254 18313672 19018044 20602881 27470508 38036088 41205762 54941016 61808643 82411524 123617286 164823048 247234572 494469144