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494956944 = 243215721893
BaseRepresentation
bin11101100000000…
…111000110010000
31021111100102021200
4131200013012100
52003202110234
6121040351200
715160031106
oct3540070620
91244312250
10494956944
11234432529
12119915500
137b70a841
1449a41c76
152d6bdd99
hex1d807190

494956944 has 60 divisors (see below), whose sum is σ = 1394078556. Its totient is φ = 163927296.

The previous prime is 494956909. The next prime is 494956963. The reversal of 494956944 is 449659494.

It is a happy number.

494956944 is a `hidden beast` number, since 494 + 95 + 69 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260499600 + 234457344 = 16140^2 + 15312^2 .

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 11 ways as a sum of consecutive naturals, for example, 11662 + ... + 33554.

Almost surely, 2494956944 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 494956944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697039278).

494956944 is an abundant number, since it is smaller than the sum of its proper divisors (899121612).

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

494956944 is a wasteful number, since it uses less digits than its factorization.

494956944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22064 (or 22055 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 494956944 is about 22247.6278286023. The cubic root of 494956944 is about 791.0230531420.

The spelling of 494956944 in words is "four hundred ninety-four million, nine hundred fifty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 21893 22608 43786 65679 87572 131358 175144 197037 262716 350288 394074 525432 788148 1050864 1576296 3152592 3437201 6874402 10311603 13748804 20623206 27497608 30934809 41246412 54995216 61869618 82492824 123739236 164985648 247478472 494956944