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285488064 = 263629211
BaseRepresentation
bin10001000001000…
…011001111000000
3201220012022000000
4101001003033000
51041041104224
644155000000
710034415501
oct2101031700
9656168000
10285488064
11137172454
127b739000
13471b9664
1429cb6ba8
151a0e40c9
hex110433c0

285488064 has 196 divisors, whose sum is σ = 882837960. Its totient is φ = 91445760.

The previous prime is 285488057. The next prime is 285488081. The reversal of 285488064 is 460884582.

285488064 is a `hidden beast` number, since 28 + 548 + 80 + 6 + 4 = 666.

It is a super-3 number, since 3×2854880643 (a number of 26 digits) contains 333 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1352919 + ... + 1353129.

Almost surely, 2285488064 is an apocalyptic number.

285488064 is a gapful number since it is divisible by the number (24) 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 285488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441418980).

285488064 is an abundant number, since it is smaller than the sum of its proper divisors (597349896).

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

285488064 is an equidigital number, since it uses as much as digits as its factorization.

285488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 285488064 is about 16896.3920409062. The cubic root of 285488064 is about 658.4598799764.

The spelling of 285488064 in words is "two hundred eighty-five million, four hundred eighty-eight thousand, sixty-four".