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490656 = 25319269
BaseRepresentation
bin1110111110010100000
3220221001110
41313302200
5111200111
614303320
74112325
oct1676240
9827043
10490656
11305701
121b7b40
1314243a
14cab4c
159a5a6
hex77ca0

490656 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 154368.

The previous prime is 490643. The next prime is 490661. The reversal of 490656 is 656094.

490656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1690 + ... + 1958.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2490656 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 490656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

490656 is an abundant number, since it is smaller than the sum of its proper divisors (870144).

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

490656 is a wasteful number, since it uses less digits than its factorization.

490656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 490656 is about 700.4684147055. The cubic root of 490656 is about 78.8725177811.

The spelling of 490656 in words is "four hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 269 304 456 538 608 807 912 1076 1614 1824 2152 3228 4304 5111 6456 8608 10222 12912 15333 20444 25824 30666 40888 61332 81776 122664 163552 245328 490656