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255528 = 23337132
BaseRepresentation
bin111110011000101000
3110222112000
4332120220
531134103
65251000
72112660
oct763050
9428460
10255528
11164a89
12103a60
138c400
14691a0
1550aa3
hex3e628

255528 has 96 divisors (see below), whose sum is σ = 878400. Its totient is φ = 67392.

The previous prime is 255523. The next prime is 255551. The reversal of 255528 is 825552.

255528 = T127 + T128 + ... + T152.

255528 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4000) is a multiple of the sum of its prime divisors (25).

It is not an unprimeable number, because it can be changed into a prime (255523) by changing a digit.

255528 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 23 ways as a sum of consecutive naturals, for example, 19650 + ... + 19662.

It is an arithmetic number, because the mean of its divisors is an integer number (9150).

2255528 is an apocalyptic number.

255528 is a gapful number since it is divisible by the number (28) 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 255528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439200).

255528 is an abundant number, since it is smaller than the sum of its proper divisors (622872).

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

255528 is a wasteful number, since it uses less digits than its factorization.

255528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 255528 is about 505.4977744758. The cubic root of 255528 is about 63.4569944617.

The spelling of 255528 in words is "two hundred fifty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 169 182 189 216 234 252 273 312 338 351 364 378 468 504 507 546 676 702 728 756 819 936 1014 1092 1183 1352 1404 1512 1521 1638 2028 2184 2366 2457 2808 3042 3276 3549 4056 4563 4732 4914 6084 6552 7098 9126 9464 9828 10647 12168 14196 18252 19656 21294 28392 31941 36504 42588 63882 85176 127764 255528