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491360256 = 212341481
BaseRepresentation
bin11101010010011…
…001000000000000
31021020120200120000
4131102121000000
52001242012011
6120431320000
715114331122
oct3522310000
91236520500
10491360256
112323a6262
12118680000
137aa4b71a
1449387212
152d20d356
hex1d499000

491360256 has 130 divisors (see below), whose sum is σ = 1468826502. Its totient is φ = 163676160.

The previous prime is 491360251. The next prime is 491360267. The reversal of 491360256 is 652063194.

It is a happy number.

491360256 is a `hidden beast` number, since 49 + 1 + 3 + 602 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406425600 + 84934656 = 20160^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 491360256.

It is not an unprimeable number, because it can be changed into a prime (491360251) 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, 331036 + ... + 332516.

Almost surely, 2491360256 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 491360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734413251).

491360256 is an abundant number, since it is smaller than the sum of its proper divisors (977466246).

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

491360256 is an equidigital number, since it uses as much as digits as its factorization.

491360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 491360256 is about 22166.6473784377. The cubic root of 491360256 is about 789.1023591702.

The spelling of 491360256 in words is "four hundred ninety-one million, three hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1481 1536 1728 2048 2304 2592 2962 3072 3456 4096 4443 4608 5184 5924 6144 6912 8886 9216 10368 11848 12288 13329 13824 17772 18432 20736 23696 26658 27648 35544 36864 39987 41472 47392 53316 55296 71088 79974 82944 94784 106632 110592 119961 142176 159948 165888 189568 213264 239922 284352 319896 331776 379136 426528 479844 568704 639792 758272 853056 959688 1137408 1279584 1516544 1706112 1919376 2274816 2559168 3033088 3412224 3838752 4549632 5118336 6066176 6824448 7677504 9099264 10236672 13648896 15355008 18198528 20473344 27297792 30710016 40946688 54595584 61420032 81893376 122840064 163786752 245680128 491360256