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490644 = 223371159
BaseRepresentation
bin1110111110010010100
3220221001000
41313302110
5111200034
614303300
74112310
oct1676224
9827030
10490644
113056a0
121b7b30
1314242b
14cab40
159a599
hex77c94

490644 has 96 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 125280.

The previous prime is 490643. The next prime is 490661. The reversal of 490644 is 446094.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490643) 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 31 ways as a sum of consecutive naturals, for example, 8287 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2490644 is an apocalyptic number.

490644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

490644 is an abundant number, since it is smaller than the sum of its proper divisors (1122156).

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

490644 is a wasteful number, since it uses less digits than its factorization.

490644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 490644 is about 700.4598489564. The cubic root of 490644 is about 78.8718747794.

It can be divided in two parts, 4906 and 44, that added together give a triangular number (4950 = T99).

The spelling of 490644 in words is "four hundred ninety thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 59 63 66 77 84 99 108 118 126 132 154 177 189 198 231 236 252 297 308 354 378 396 413 462 531 594 649 693 708 756 826 924 1062 1188 1239 1298 1386 1593 1652 1947 2079 2124 2478 2596 2772 3186 3717 3894 4158 4543 4956 5841 6372 7434 7788 8316 9086 11151 11682 13629 14868 17523 18172 22302 23364 27258 35046 40887 44604 54516 70092 81774 122661 163548 245322 490644