Search a number
-
+
499647564 = 2232137011523
BaseRepresentation
bin11101110010000…
…000010001001100
31021211011201121100
4131302000101030
52010402210224
6121325103100
715244635303
oct3562002114
91254151540
10499647564
11237046679
1211b3b7a90
137c690860
144a50343a
152dce8ac9
hex1dc8044c

499647564 has 72 divisors (see below), whose sum is σ = 1362986352. Its totient is φ = 153417600.

The previous prime is 499647563. The next prime is 499647581. The reversal of 499647564 is 465746994.

It is a happy number.

It is a super-2 number, since 2×4996475642 = 499295376422268192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 499647564.

It is not an unprimeable number, because it can be changed into a prime (499647563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 327307 + ... + 328829.

It is an arithmetic number, because the mean of its divisors is an integer number (18930366).

Almost surely, 2499647564 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 499647564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681493176).

499647564 is an abundant number, since it is smaller than the sum of its proper divisors (863338788).

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

499647564 is a wasteful number, since it uses less digits than its factorization.

499647564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2242 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 499647564 is about 22352.7976772484. The cubic root of 499647564 is about 793.5139963917.

The spelling of 499647564 in words is "four hundred ninety-nine million, six hundred forty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 701 1402 1523 2103 2804 3046 4206 4569 6092 6309 8412 9113 9138 12618 13707 18226 18276 19799 25236 27339 27414 36452 39598 54678 54828 59397 79196 82017 109356 118794 164034 178191 237588 328068 356382 712764 1067623 2135246 3202869 4270492 6405738 9608607 12811476 13879099 19217214 27758198 38434428 41637297 55516396 83274594 124911891 166549188 249823782 499647564