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491310112 = 25293891361
BaseRepresentation
bin11101010010001…
…100110000100000
31021020111010202211
4131102030300200
52001233410422
6120430251504
715114031666
oct3522146040
91236433684
10491310112
11232371617
12118656b94
137aa31957
1449372c36
152d1ed577
hex1d48cc20

491310112 has 48 divisors (see below), whose sum is σ = 1003930200. Its totient is φ = 236400640.

The previous prime is 491310097. The next prime is 491310121. The reversal of 491310112 is 211013194.

It can be written as a sum of positive squares in 4 ways, for example, as 287505936 + 203804176 = 16956^2 + 14276^2 .

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 7 ways as a sum of consecutive naturals, for example, 360312 + ... + 361672.

Almost surely, 2491310112 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 491310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501965100).

491310112 is an abundant number, since it is smaller than the sum of its proper divisors (512620088).

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

491310112 is a wasteful number, since it uses less digits than its factorization.

491310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 491310112 is about 22165.5162809261. The cubic root of 491310112 is about 789.0755152579.

The spelling of 491310112 in words is "four hundred ninety-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 389 464 778 928 1361 1556 2722 3112 5444 6224 10888 11281 12448 21776 22562 39469 43552 45124 78938 90248 157876 180496 315752 360992 529429 631504 1058858 1263008 2117716 4235432 8470864 15353441 16941728 30706882 61413764 122827528 245655056 491310112