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255645 = 325131923
BaseRepresentation
bin111110011010011101
3110222200100
4332122131
531140040
65251313
72113215
oct763235
9428610
10255645
11165085
12103b39
138c490
1469245
1550b30
hex3e69d

255645 has 48 divisors (see below), whose sum is σ = 524160. Its totient is φ = 114048.

The previous prime is 255641. The next prime is 255649. The reversal of 255645 is 546552.

It is an interprime number because it is at equal distance from previous prime (255641) and next prime (255649).

It is not a de Polignac number, because 255645 - 22 = 255641 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

255645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11104 + ... + 11126.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2255645 is an apocalyptic number.

It is an amenable number.

255645 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

255645 is a wasteful number, since it uses less digits than its factorization.

255645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 255645 is about 505.6134887441. The cubic root of 255645 is about 63.4666781173.

It can be divided in two parts, 2556 and 45, that added together give a square (2601 = 512).

The spelling of 255645 in words is "two hundred fifty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 19 23 39 45 57 65 69 95 115 117 171 195 207 247 285 299 345 437 585 741 855 897 1035 1235 1311 1495 2185 2223 2691 3705 3933 4485 5681 6555 11115 13455 17043 19665 28405 51129 85215 255645