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489075840 = 27335113183
BaseRepresentation
bin11101001001101…
…011010010000000
31021002021121221000
4131021223102000
52000200411330
6120310332000
715056035041
oct3511532200
91232247830
10489075840
11231085a10
1211795a000
137a42b9b6
1448d508c8
152ce0b560
hex1d26b480

489075840 has 512 divisors, whose sum is σ = 1974067200. Its totient is φ = 113356800.

The previous prime is 489075803. The next prime is 489075869. The reversal of 489075840 is 48570984.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5892439 + ... + 5892521.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2489075840 is an apocalyptic number.

489075840 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 489075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

489075840 is an abundant number, since it is smaller than the sum of its proper divisors (1484991360).

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

489075840 is a wasteful number, since it uses less digits than its factorization.

489075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 489075840 is about 22115.0591226883. The cubic root of 489075840 is about 787.8775695110.

It can be divided in two parts, 4 and 89075840, that added together give a square (89075844 = 94382).

The spelling of 489075840 in words is "four hundred eighty-nine million, seventy-five thousand, eight hundred forty".