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505336 = 231343113
BaseRepresentation
bin1111011010111111000
3221200012011
41323113320
5112132321
614455304
74203166
oct1732770
9850164
10505336
11315737
12204534
13149020
14d2236
159eae1
hex7b5f8

505336 has 32 divisors (see below), whose sum is σ = 1053360. Its totient is φ = 225792.

The previous prime is 505327. The next prime is 505339. The reversal of 505336 is 633505.

505336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505339) by changing a digit.

505336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4416 + ... + 4528.

2505336 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 505336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526680).

505336 is an abundant number, since it is smaller than the sum of its proper divisors (548024).

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

505336 is a wasteful number, since it uses less digits than its factorization.

505336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 505336 is about 710.8698896423. The cubic root of 505336 is about 79.6513998472.

It can be divided in two parts, 505 and 336, that added together give a square (841 = 292).

The spelling of 505336 in words is "five hundred five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 43 52 86 104 113 172 226 344 452 559 904 1118 1469 2236 2938 4472 4859 5876 9718 11752 19436 38872 63167 126334 252668 505336