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525228 = 2231123173
BaseRepresentation
bin10000000001110101100
3222200110220
42000032230
5113301403
615131340
74315164
oct2001654
9880426
10525228
11329680
12213b50
131550b2
14d95a4
15a5953
hex803ac

525228 has 48 divisors (see below), whose sum is σ = 1403136. Its totient is φ = 151360.

The previous prime is 525221. The next prime is 525241. The reversal of 525228 is 822525.

It is a junction number, because it is equal to n+sod(n) for n = 525198 and 525207.

It is not an unprimeable number, because it can be changed into a prime (525221) by changing a digit.

525228 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950 + ... + 3122.

It is an arithmetic number, because the mean of its divisors is an integer number (29232).

2525228 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 525228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701568).

525228 is an abundant number, since it is smaller than the sum of its proper divisors (877908).

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

525228 is a wasteful number, since it uses less digits than its factorization.

525228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 525228 is about 724.7261551786. The cubic root of 525228 is about 80.6831087613.

The spelling of 525228 in words is "five hundred twenty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 173 253 276 346 506 519 692 759 1012 1038 1518 1903 2076 3036 3806 3979 5709 7612 7958 11418 11937 15916 22836 23874 43769 47748 87538 131307 175076 262614 525228