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505494 = 233112337
BaseRepresentation
bin1111011011010010110
3221200102000
41323122112
5112133434
614500130
74203513
oct1733226
9850360
10505494
11315870
12204646
13149112
14d230a
159eb99
hex7b696

505494 has 64 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 142560.

The previous prime is 505493. The next prime is 505501. The reversal of 505494 is 494505.

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

It is an alternating number because its digits alternate between odd and even.

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 505494.

It is not an unprimeable number, because it can be changed into a prime (505493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13644 + ... + 13680.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2505494 is an apocalyptic number.

505494 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

505494 is an abundant number, since it is smaller than the sum of its proper divisors (807786).

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

505494 is a wasteful number, since it uses less digits than its factorization.

505494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

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

The square root of 505494 is about 710.9810124047. The cubic root of 505494 is about 79.6597003376.

Adding to 505494 its sum of digits (27), we get a square (505521 = 7112).

Adding to 505494 its reverse (494505), we get a palindrome (999999).

It can be divided in two parts, 505 and 494, that added together give a palindrome (999).

The spelling of 505494 in words is "five hundred five thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 37 46 54 66 69 74 99 111 138 198 207 222 253 297 333 407 414 506 594 621 666 759 814 851 999 1221 1242 1518 1702 1998 2277 2442 2553 3663 4554 5106 6831 7326 7659 9361 10989 13662 15318 18722 21978 22977 28083 45954 56166 84249 168498 252747 505494