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505926 = 236347
BaseRepresentation
bin1111011100001000110
3221201000000
41323201012
5112142201
614502130
74205001
oct1734106
9851000
10505926
11316123
12204946
13149385
14d2538
159ed86
hex7b846

505926 has 28 divisors (see below), whose sum is σ = 1141092. Its totient is φ = 168156.

The previous prime is 505919. The next prime is 505927. The reversal of 505926 is 629505.

It is a super-2 number, since 2×5059262 = 511922234952, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 505926.

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 505926.

It is not an unprimeable number, because it can be changed into a prime (505927) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1285 + ... + 1631.

2505926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570546).

505926 is an abundant number, since it is smaller than the sum of its proper divisors (635166).

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

505926 is an equidigital number, since it uses as much as digits as its factorization.

505926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 505926 is about 711.2847531053. The cubic root of 505926 is about 79.6823865231.

It can be divided in two parts, 505 and 926, that added together give a triangular number (1431 = T53).

The spelling of 505926 in words is "five hundred five thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 347 486 694 729 1041 1458 2082 3123 6246 9369 18738 28107 56214 84321 168642 252963 505926