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4028288 = 27112861
BaseRepresentation
bin1111010111011110000000
321120122202212
433113132000
52012401123
6222201252
746145165
oct17273600
97518685
104028288
112301570
121423228
13ab0704
1476c06c
15548878
hex3d7780

4028288 has 32 divisors (see below), whose sum is σ = 8757720. Its totient is φ = 1830400.

The previous prime is 4028287. The next prime is 4028293. The reversal of 4028288 is 8828204.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 2838.

Almost surely, 24028288 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 4028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378860).

4028288 is an abundant number, since it is smaller than the sum of its proper divisors (4729432).

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

4028288 is a wasteful number, since it uses less digits than its factorization.

4028288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4028288 is about 2007.0595407212. The cubic root of 4028288 is about 159.1134298656.

The spelling of 4028288 in words is "four million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2861 5722 11444 22888 31471 45776 62942 91552 125884 183104 251768 366208 503536 1007072 2014144 4028288