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495104 = 29967
BaseRepresentation
bin1111000111000000000
3221011011012
41320320000
5111320404
614340052
74131311
oct1707000
9834135
10495104
11308a85
121ba628
1314447c
14cc608
159ba6e
hex78e00

495104 has 20 divisors (see below), whose sum is σ = 990264. Its totient is φ = 247296.

The previous prime is 495071. The next prime is 495109. The reversal of 495104 is 401594.

It is a happy number.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 495104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29 + ... + 995.

2495104 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 495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495132).

495104 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

495104 is an frugal number, since it uses more digits than its factorization.

495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 495104 is about 703.6362696735. The cubic root of 495104 is about 79.1101385321.

Adding to 495104 its reverse (401594), we get a palindrome (896698).

The spelling of 495104 in words is "four hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 967 1934 3868 7736 15472 30944 61888 123776 247552 495104