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491344912 = 24291736121
BaseRepresentation
bin11101010010010…
…101010000010000
31021020112220111201
4131102111100100
52001241014122
6120431120544
715114235312
oct3522252020
91236486451
10491344912
11232395783
12118673154
137aa44746
14493817b2
152d208a27
hex1d495410

491344912 has 40 divisors (see below), whose sum is σ = 990662040. Its totient is φ = 235791360.

The previous prime is 491344907. The next prime is 491344937. The reversal of 491344912 is 219443194.

It can be written as a sum of positive squares in 4 ways, for example, as 83466496 + 407878416 = 9136^2 + 20196^2 .

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, 77212 + ... + 83332.

It is an arithmetic number, because the mean of its divisors is an integer number (24766551).

Almost surely, 2491344912 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 491344912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331020).

491344912 is an abundant number, since it is smaller than the sum of its proper divisors (499317128).

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

491344912 is a wasteful number, since it uses less digits than its factorization.

491344912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6325 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 491344912 is about 22166.3012701713. The cubic root of 491344912 is about 789.0941451612.

The spelling of 491344912 in words is "four hundred ninety-one million, three hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 173 232 346 464 692 1384 2768 5017 6121 10034 12242 20068 24484 40136 48968 80272 97936 177509 355018 710036 1058933 1420072 2117866 2840144 4235732 8471464 16942928 30709057 61418114 122836228 245672456 491344912