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80256 = 2731119
BaseRepresentation
bin10011100110000000
311002002110
4103212000
510032011
61415320
7452661
oct234600
9132073
1080256
1155330
123a540
132a6b7
1421368
1518ba6
hex13980

80256 has 64 divisors (see below), whose sum is σ = 244800. Its totient is φ = 23040.

The previous prime is 80251. The next prime is 80263. The reversal of 80256 is 65208.

It can be divided in two parts, 802 and 56, that added together give a palindrome (858).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80251) by changing a digit.

80256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4215 + ... + 4233.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

280256 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 80256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

80256 is an abundant number, since it is smaller than the sum of its proper divisors (164544).

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

80256 is a wasteful number, since it uses less digits than its factorization.

80256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 80256 is about 283.2948993540. The cubic root of 80256 is about 43.1346061356.

The spelling of 80256 in words is "eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 3344 3648 4224 5016 6688 7296 10032 13376 20064 26752 40128 80256