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505704 = 233191109
BaseRepresentation
bin1111011011101101000
3221200200210
41323131220
5112140304
614501120
74204233
oct1733550
9850623
10505704
11315a41
122047a0
13149244
14d241a
159ec89
hex7b768

505704 has 32 divisors (see below), whose sum is σ = 1332000. Its totient is φ = 159552.

The previous prime is 505693. The next prime is 505709. The reversal of 505704 is 407505.

It is not an unprimeable number, because it can be changed into a prime (505709) by changing a digit.

505704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (41625).

2505704 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 505704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666000).

505704 is an abundant number, since it is smaller than the sum of its proper divisors (826296).

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

505704 is a wasteful number, since it uses less digits than its factorization.

505704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 505704 is about 711.1286803385. The cubic root of 505704 is about 79.6707299582.

The spelling of 505704 in words is "five hundred five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1109 2218 3327 4436 6654 8872 13308 21071 26616 42142 63213 84284 126426 168568 252852 505704