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51255 = 3251767
BaseRepresentation
bin1100100000110111
32121022100
430200313
53120010
61033143
7302301
oct144067
977270
1051255
1135566
12257b3
131a439
1414971
15102c0
hexc837

51255 has 24 divisors (see below), whose sum is σ = 95472. Its totient is φ = 25344.

The previous prime is 51241. The next prime is 51257. The reversal of 51255 is 55215.

51255 = T69 + T70 + ... + T85.

51255 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51255 - 24 = 51239 is a prime.

51255 is a lucky number.

It is a plaindrome in base 11.

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 51255.

It is not an unprimeable number, because it can be changed into a prime (51257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (3978).

251255 is an apocalyptic number.

51255 is a deficient number, since it is larger than the sum of its proper divisors (44217).

51255 is a wasteful number, since it uses less digits than its factorization.

51255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 250, while the sum is 18.

The square root of 51255 is about 226.3956713367. The cubic root of 51255 is about 37.1460021287.

The spelling of 51255 in words is "fifty-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 67 85 153 201 255 335 603 765 1005 1139 3015 3417 5695 10251 17085 51255