Search a number
-
+
255936 = 2633143
BaseRepresentation
bin111110011111000000
3111000002010
4332133000
531142221
65252520
72114112
oct763700
9430063
10255936
1116531a
12104140
138c655
14693b2
1550c76
hex3e7c0

255936 has 56 divisors (see below), whose sum is σ = 715264. Its totient is φ = 80640.

The previous prime is 255923. The next prime is 255947. The reversal of 255936 is 639552.

255936 is nontrivially palindromic in base 7.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

255936 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, 5931 + ... + 5973.

2255936 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 255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357632).

255936 is an abundant number, since it is smaller than the sum of its proper divisors (459328).

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

255936 is a wasteful number, since it uses less digits than its factorization.

255936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 255936 is about 505.9011761204. The cubic root of 255936 is about 63.4907503009.

The spelling of 255936 in words is "two hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 129 172 186 192 248 258 344 372 496 516 688 744 992 1032 1333 1376 1488 1984 2064 2666 2752 2976 3999 4128 5332 5952 7998 8256 10664 15996 21328 31992 42656 63984 85312 127968 255936