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56835 = 335421
BaseRepresentation
bin1101111000000011
32212222000
431320003
53304320
61115043
7324462
oct157003
985860
1056835
1139779
1228a83
131cb3c
14169d9
1511c90
hexde03

56835 has 16 divisors (see below), whose sum is σ = 101280. Its totient is φ = 30240.

The previous prime is 56827. The next prime is 56843. The reversal of 56835 is 53865.

56835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56827) and next prime (56843).

It is not a de Polignac number, because 56835 - 23 = 56827 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 56799 and 56808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (6330).

256835 is an apocalyptic number.

56835 is a deficient number, since it is larger than the sum of its proper divisors (44445).

56835 is a wasteful number, since it uses less digits than its factorization.

56835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 56835 is about 238.4009228170. The cubic root of 56835 is about 38.4478407633.

Subtracting from 56835 its product of digits (3600), we obtain a palindrome (53235).

The spelling of 56835 in words is "fifty-six thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 421 1263 2105 3789 6315 11367 18945 56835