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4288284 = 223272111317
BaseRepresentation
bin10000010110111100011100
322001212102100
4100112330130
52044211114
6231525100
751310200
oct20267434
98055370
104288284
112469940
121529790
13b71b60
147d8b00
1559a909
hex416f1c

4288284 has 216 divisors, whose sum is σ = 15685488. Its totient is φ = 967680.

The previous prime is 4288253. The next prime is 4288307. The reversal of 4288284 is 4828824.

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

It is a congruent number.

It is an unprimeable 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 71 ways as a sum of consecutive naturals, for example, 252244 + ... + 252260.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

Almost surely, 24288284 is an apocalyptic number.

4288284 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 4288284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

4288284 is an abundant number, since it is smaller than the sum of its proper divisors (11397204).

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

4288284 is a wasteful number, since it uses less digits than its factorization.

4288284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 4288284 is about 2070.8172299843. The cubic root of 4288284 is about 162.4655106291.

The spelling of 4288284 in words is "four million, two hundred eighty-eight thousand, two hundred eighty-four".