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504812 = 227112149
BaseRepresentation
bin1111011001111101100
3221122110202
41323033230
5112123222
614453032
74201520
oct1731754
9848422
10504812
11315300
12204178
13148a09
14d1d80
159e892
hex7b3ec

504812 has 36 divisors (see below), whose sum is σ = 1117200. Its totient is φ = 195360.

The previous prime is 504799. The next prime is 504817. The reversal of 504812 is 218405.

It is a super-3 number, since 3×5048123 = 385931533318545984, which contains 333 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 504812.

It is not an unprimeable number, because it can be changed into a prime (504817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3314 + ... + 3462.

2504812 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 504812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558600).

504812 is an abundant number, since it is smaller than the sum of its proper divisors (612388).

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

504812 is a wasteful number, since it uses less digits than its factorization.

504812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 504812 is about 710.5012315260. The cubic root of 504812 is about 79.6238592484.

The spelling of 504812 in words is "five hundred four thousand, eight hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 149 154 242 298 308 484 596 847 1043 1639 1694 2086 3278 3388 4172 6556 11473 18029 22946 36058 45892 72116 126203 252406 504812