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491776 = 2817113
BaseRepresentation
bin1111000000100000000
3220222120221
41320010000
5111214101
614312424
74115515
oct1700400
9828527
10491776
1130652a
121b8714
13142abc
14cb30c
159aaa1
hex78100

491776 has 36 divisors (see below), whose sum is σ = 1048572. Its totient is φ = 229376.

The previous prime is 491773. The next prime is 491783. The reversal of 491776 is 677194.

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 331776 = 400^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (491773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4296 + ... + 4408.

It is an arithmetic number, because the mean of its divisors is an integer number (29127).

2491776 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 491776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524286).

491776 is an abundant number, since it is smaller than the sum of its proper divisors (556796).

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

491776 is a wasteful number, since it uses less digits than its factorization.

491776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 10584, while the sum is 34.

The square root of 491776 is about 701.2674240260. The cubic root of 491776 is about 78.9324851788.

The spelling of 491776 in words is "four hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 256 272 452 544 904 1088 1808 1921 2176 3616 3842 4352 7232 7684 14464 15368 28928 30736 61472 122944 245888 491776