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491041408 = 271113139193
BaseRepresentation
bin11101010001001…
…011001010000000
31021012222111011211
4131101023022000
52001201311113
6120420415504
715111532414
oct3521131200
91235874154
10491041408
112321a8750
12118547594
137a969560
1449302d44
152d198b3d
hex1d44b280

491041408 has 128 divisors (see below), whose sum is σ = 1163534400. Its totient is φ = 203489280.

The previous prime is 491041373. The next prime is 491041429. The reversal of 491041408 is 804140194.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4910414082 = 482243328741244928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 491041408.

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 15 ways as a sum of consecutive naturals, for example, 2544160 + ... + 2544352.

Almost surely, 2491041408 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 491041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581767200).

491041408 is an abundant number, since it is smaller than the sum of its proper divisors (672492992).

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

491041408 is a wasteful number, since it uses less digits than its factorization.

491041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 491041408 is about 22159.4541449017. The cubic root of 491041408 is about 788.9316370790.

The spelling of 491041408 in words is "four hundred ninety-one million, forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 139 143 176 193 208 278 286 352 386 416 556 572 704 772 832 1112 1144 1408 1529 1544 1664 1807 2123 2224 2288 2509 3058 3088 3614 4246 4448 4576 5018 6116 6176 7228 8492 8896 9152 10036 12232 12352 14456 16984 17792 18304 19877 20072 24464 24704 26827 27599 28912 33968 39754 40144 48928 53654 55198 57824 67936 79508 80288 97856 107308 110396 115648 135872 159016 160576 195712 214616 220792 231296 271744 295097 318032 321152 348751 429232 441584 590194 636064 697502 858464 883168 1180388 1272128 1395004 1716928 1766336 2360776 2544256 2790008 3433856 3532672 3836261 4721552 5580016 7672522 9443104 11160032 15345044 18886208 22320064 30690088 37772416 44640128 61380176 122760352 245520704 491041408