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489840 = 243513157
BaseRepresentation
bin1110111100101110000
3220212221020
41313211300
5111133330
614255440
74110051
oct1674560
9825836
10489840
1130502a
121b7580
13141c60
14ca728
159a210
hex77970

489840 has 80 divisors (see below), whose sum is σ = 1645728. Its totient is φ = 119808.

The previous prime is 489833. The next prime is 489847. The reversal of 489840 is 48984.

It is an interprime number because it is at equal distance from previous prime (489833) and next prime (489847).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489847) by changing a digit.

489840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 3042 + ... + 3198.

2489840 is an apocalyptic number.

489840 is a gapful number since it is divisible by the number (40) 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 489840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822864).

489840 is an abundant number, since it is smaller than the sum of its proper divisors (1155888).

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

489840 is a wasteful number, since it uses less digits than its factorization.

489840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 489840 is about 699.8857049547. The cubic root of 489840 is about 78.8287697607.

The spelling of 489840 in words is "four hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 312 314 390 471 520 624 628 780 785 942 1040 1256 1560 1570 1884 2041 2355 2512 3120 3140 3768 4082 4710 6123 6280 7536 8164 9420 10205 12246 12560 16328 18840 20410 24492 30615 32656 37680 40820 48984 61230 81640 97968 122460 163280 244920 489840