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491323968 = 263494777
BaseRepresentation
bin11101010010010…
…000001001000000
31021020111211210000
4131102100021000
52001234331333
6120430440000
715114120252
oct3522201100
91236454700
10491323968
11232380a73
12118663000
137aa38055
1449377cd2
152d202713
hex1d490240

491323968 has 70 divisors (see below), whose sum is σ = 1456453526. Its totient is φ = 163772928.

The previous prime is 491323961. The next prime is 491323981. The reversal of 491323968 is 869323194.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 151585344 = 18432^2 + 12312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (491323961) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42205 + ... + 52572.

Almost surely, 2491323968 is an apocalyptic number.

491323968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

491323968 is an abundant number, since it is smaller than the sum of its proper divisors (965129558).

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

491323968 is an equidigital number, since it uses as much as digits as its factorization.

491323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94801 (or 94782 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 491323968 is about 22165.8288362966. The cubic root of 491323968 is about 789.0829330627.

The spelling of 491323968 in words is "four hundred ninety-one million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 94777 189554 284331 379108 568662 758216 852993 1137324 1516432 1705986 2274648 2558979 3032864 3411972 4549296 5117958 6065728 6823944 7676937 9098592 10235916 13647888 15353874 18197184 20471832 27295776 30707748 40943664 54591552 61415496 81887328 122830992 163774656 245661984 491323968