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491140512 = 25327124019
BaseRepresentation
bin11101010001100…
…011010110100000
31021020011112010100
4131101203112200
52001212444022
6120422502400
715112424352
oct3521432640
91236145110
10491140512
11232266155
12118594a00
137a9a26b5
144932b0d2
152d1b81ac
hex1d4635a0

491140512 has 72 divisors (see below), whose sum is σ = 1416411360. Its totient is φ = 161400960.

The previous prime is 491140499. The next prime is 491140513. The reversal of 491140512 is 215041194.

491140512 is a `hidden beast` number, since 4 + 9 + 1 + 140 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (491140513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8439 + ... + 32457.

It is an arithmetic number, because the mean of its divisors is an integer number (19672380).

Almost surely, 2491140512 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 491140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708205680).

491140512 is an abundant number, since it is smaller than the sum of its proper divisors (925270848).

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

491140512 is a wasteful number, since it uses less digits than its factorization.

491140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24106 (or 24095 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 491140512 is about 22161.6901882505. The cubic root of 491140512 is about 788.9847086532.

The spelling of 491140512 in words is "four hundred ninety-one million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 24019 48038 72057 96076 144114 192152 216171 288228 384304 432342 576456 768608 864684 1152912 1705349 1729368 2305824 3410698 3458736 5116047 6821396 6917472 10232094 13642792 15348141 20464188 27285584 30696282 40928376 54571168 61392564 81856752 122785128 163713504 245570256 491140512