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255216 = 24313409
BaseRepresentation
bin111110010011110000
3110222002110
4332103300
531131331
65245320
72112033
oct762360
9428073
10255216
11164825
12103840
138c220
146901a
1550946
hex3e4f0

255216 has 40 divisors (see below), whose sum is σ = 711760. Its totient is φ = 78336.

The previous prime is 255209. The next prime is 255217. The reversal of 255216 is 612552.

255216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255192 and 255201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 255216.

It is not an unprimeable number, because it can be changed into a prime (255217) by changing a digit.

255216 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, 420 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (17794).

2255216 is an apocalyptic number.

255216 is a gapful number since it is divisible by the number (26) 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 255216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355880).

255216 is an abundant number, since it is smaller than the sum of its proper divisors (456544).

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

255216 is a wasteful number, since it uses less digits than its factorization.

255216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 255216 is about 505.1890735160. The cubic root of 255216 is about 63.4311569204.

Adding to 255216 its reverse (612552), we get a palindrome (867768).

The spelling of 255216 in words is "two hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 409 624 818 1227 1636 2454 3272 4908 5317 6544 9816 10634 15951 19632 21268 31902 42536 63804 85072 127608 255216