Search a number
-
+
492442368 = 2831171821
BaseRepresentation
bin11101010110100…
…001001100000000
31021022121122221020
4131112201030000
52002031123433
6120510425440
715126456015
oct3526411400
91238548836
10492442368
11232a75270
12118b02280
137b03a122
144958970c
152d373cb3
hex1d5a1300

492442368 has 144 divisors (see below), whose sum is σ = 1451665152. Its totient is φ = 146944000.

The previous prime is 492442337. The next prime is 492442369. The reversal of 492442368 is 863244294.

It is not an unprimeable number, because it can be changed into a prime (492442369) 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 15 ways as a sum of consecutive naturals, for example, 599398 + ... + 600218.

It is an arithmetic number, because the mean of its divisors is an integer number (10081008).

Almost surely, 2492442368 is an apocalyptic number.

492442368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725832576).

492442368 is an abundant number, since it is smaller than the sum of its proper divisors (959222784).

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

492442368 is a wasteful number, since it uses less digits than its factorization.

492442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 908 counting only the distinct ones).

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

The square root of 492442368 is about 22191.0425171960. The cubic root of 492442368 is about 789.6812087670.

The spelling of 492442368 in words is "four hundred ninety-two million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 256 264 284 352 384 426 528 568 704 768 781 821 852 1056 1136 1408 1562 1642 1704 2112 2272 2343 2463 2816 3124 3284 3408 4224 4544 4686 4926 6248 6568 6816 8448 9031 9088 9372 9852 12496 13136 13632 18062 18176 18744 19704 24992 26272 27093 27264 36124 37488 39408 49984 52544 54186 54528 58291 72248 74976 78816 99968 105088 108372 116582 144496 149952 157632 174873 199936 210176 216744 233164 288992 299904 315264 349746 433488 466328 577984 599808 630528 641201 699492 866976 932656 1155968 1282402 1398984 1733952 1865312 1923603 2311936 2564804 2797968 3467904 3730624 3847206 5129608 5595936 6935808 7461248 7694412 10259216 11191872 14922496 15388824 20518432 22383744 30777648 41036864 44767488 61555296 82073728 123110592 164147456 246221184 492442368