Search a number
-
+
4288256 = 2872393
BaseRepresentation
bin10000010110111100000000
322001212101022
4100112330000
52044211011
6231525012
751310130
oct20267400
98055338
104288256
112469915
121529768
13b71b3b
147d8ac0
1559a8db
hex416f00

4288256 has 36 divisors (see below), whose sum is σ = 9786672. Its totient is φ = 1837056.

The previous prime is 4288253. The next prime is 4288307. The reversal of 4288256 is 6528824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288253) 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, 596 + ... + 2988.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 24288256 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 4288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893336).

4288256 is an abundant number, since it is smaller than the sum of its proper divisors (5498416).

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

4288256 is an equidigital number, since it uses as much as digits as its factorization.

4288256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2402 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 4288256 is about 2070.8104693573. The cubic root of 4288256 is about 162.4651570266.

The spelling of 4288256 in words is "four million, two hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2393 4786 9572 16751 19144 33502 38288 67004 76576 134008 153152 268016 306304 536032 612608 1072064 2144128 4288256