Search a number
-
+
17028256 = 257194001
BaseRepresentation
bin100000011110…
…1010010100000
31012001010101011
41000331102200
513324401011
61404550304
7264511030
oct100752240
935033334
1017028256
119680643
125852394
1336b28bb
1423938c0
151765621
hex103d4a0

17028256 has 48 divisors (see below), whose sum is σ = 40340160. Its totient is φ = 6912000.

The previous prime is 17028247. The next prime is 17028259. The reversal of 17028256 is 65282071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17028259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2256 + ... + 6256.

It is an arithmetic number, because the mean of its divisors is an integer number (840420).

Almost surely, 217028256 is an apocalyptic number.

17028256 is a gapful number since it is divisible by the number (16) 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 17028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170080).

17028256 is an abundant number, since it is smaller than the sum of its proper divisors (23311904).

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

17028256 is a wasteful number, since it uses less digits than its factorization.

17028256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 17028256 is about 4126.5307462807. The cubic root of 17028256 is about 257.2705392943.

The spelling of 17028256 in words is "seventeen million, twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4001 4256 8002 16004 28007 32008 56014 64016 76019 112028 128032 152038 224056 304076 448112 532133 608152 896224 1064266 1216304 2128532 2432608 4257064 8514128 17028256