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490788 = 223213633
BaseRepresentation
bin1110111110100100100
3220221020100
41313310210
5111201123
614304100
74112604
oct1676444
9827210
10490788
11305811
121b8030
1314250c
14cac04
159a643
hex77d24

490788 has 18 divisors (see below), whose sum is σ = 1240694. Its totient is φ = 163584.

The previous prime is 490783. The next prime is 490829. The reversal of 490788 is 887094.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 39204 = 672^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13633 = 490788 / (4 + 9 + 0 + 7 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (490783) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6781 + ... + 6852.

2490788 is an apocalyptic number.

It is an amenable number.

490788 is an abundant number, since it is smaller than the sum of its proper divisors (749906).

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

490788 is a wasteful number, since it uses less digits than its factorization.

490788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13643 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 490788 is about 700.5626310331. The cubic root of 490788 is about 78.8795901080.

The spelling of 490788 in words is "four hundred ninety thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 13633 27266 40899 54532 81798 122697 163596 245394 490788