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4160288 = 251153223
BaseRepresentation
bin1111110111101100100000
321211100211202
433313230200
52031112123
6225100332
750235056
oct17675440
97740752
104160288
112391760
1214876a8
13b28812
147a41d6
15572a28
hex3f7b20

4160288 has 48 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 1847040.

The previous prime is 4160281. The next prime is 4160323. The reversal of 4160288 is 8820614.

It is a self number, because there is not a number n which added to its sum of digits gives 4160288.

It is not an unprimeable number, because it can be changed into a prime (4160281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18545 + ... + 18767.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 24160288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

4160288 is an abundant number, since it is smaller than the sum of its proper divisors (4984288).

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

4160288 is a wasteful number, since it uses less digits than its factorization.

4160288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 4160288 is about 2039.6784060239. The cubic root of 4160288 is about 160.8327416971.

The spelling of 4160288 in words is "four million, one hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 223 352 424 446 583 848 892 1166 1696 1784 2332 2453 3568 4664 4906 7136 9328 9812 11819 18656 19624 23638 39248 47276 78496 94552 130009 189104 260018 378208 520036 1040072 2080144 4160288