Search a number
-
+
506856 = 23372431
BaseRepresentation
bin1111011101111101000
3221202021110
41323233220
5112204411
614510320
74210500
oct1735750
9852243
10506856
11316899
122053a0
1314991c
14d2a00
15a02a6
hex7bbe8

506856 has 48 divisors (see below), whose sum is σ = 1477440. Its totient is φ = 144480.

The previous prime is 506843. The next prime is 506861. The reversal of 506856 is 658605.

It is an unprimeable number.

506856 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 11 ways as a sum of consecutive naturals, for example, 961 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2506856 is an apocalyptic number.

506856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720).

506856 is an abundant number, since it is smaller than the sum of its proper divisors (970584).

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

506856 is a wasteful number, since it uses less digits than its factorization.

506856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 506856 is about 711.9381995651. The cubic root of 506856 is about 79.7311810497.

The spelling of 506856 in words is "five hundred six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 431 588 862 1176 1293 1724 2586 3017 3448 5172 6034 9051 10344 12068 18102 21119 24136 36204 42238 63357 72408 84476 126714 168952 253428 506856