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525008 = 241119157
BaseRepresentation
bin10000000001011010000
3222200011202
42000023100
5113300013
615130332
74314431
oct2001320
9880152
10525008
113294a0
122139a8
13154c73
14d9488
15a5858
hex802d0

525008 has 40 divisors (see below), whose sum is σ = 1175520. Its totient is φ = 224640.

The previous prime is 525001. The next prime is 525013. The reversal of 525008 is 800525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525001) by changing a digit.

525008 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3266 + ... + 3422.

It is an arithmetic number, because the mean of its divisors is an integer number (29388).

2525008 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 525008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587760).

525008 is an abundant number, since it is smaller than the sum of its proper divisors (650512).

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

525008 is a wasteful number, since it uses less digits than its factorization.

525008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 525008 is about 724.5743578129. The cubic root of 525008 is about 80.6718420588.

The spelling of 525008 in words is "five hundred twenty-five thousand, eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 157 176 209 304 314 418 628 836 1256 1672 1727 2512 2983 3344 3454 5966 6908 11932 13816 23864 27632 32813 47728 65626 131252 262504 525008