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285231744 = 27327231163
BaseRepresentation
bin10001000000000…
…100101010000000
3201212201021101200
4101000010222000
51041004403434
644145301200
710032300300
oct2100045200
9655637350
10285231744
11137007916
127b634800
1347129aa5
1429c4b600
151a093199
hex11004a80

285231744 has 288 divisors, whose sum is σ = 991635840. Its totient is φ = 78382080.

The previous prime is 285231721. The next prime is 285231761. The reversal of 285231744 is 447132582.

It is a happy number.

285231744 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 285231699 and 285231708.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749807 + ... + 1749969.

It is an arithmetic number, because the mean of its divisors is an integer number (3443180).

Almost surely, 2285231744 is an apocalyptic number.

285231744 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 285231744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495817920).

285231744 is an abundant number, since it is smaller than the sum of its proper divisors (706404096).

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

285231744 is a wasteful number, since it uses less digits than its factorization.

285231744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 285231744 is about 16888.8052863428. The cubic root of 285231744 is about 658.2627590995.

It can be divided in two parts, 2852 and 31744, that added together give a square (34596 = 1862).

The spelling of 285231744 in words is "two hundred eighty-five million, two hundred thirty-one thousand, seven hundred forty-four".