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525000 = 233557
BaseRepresentation
bin10000000001011001000
3222200011110
42000023020
5113300000
615130320
74314420
oct2001310
9880143
10525000
11329493
122139a0
13154c68
14d9480
15a5850
hex802c8

525000 has 96 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 120000.

The previous prime is 524999. The next prime is 525001. The reversal of 525000 is 525.

525000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (524999) and next prime (525001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 5.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 125 × 35 × 120.

It is a congruent number.

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

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 23 ways as a sum of consecutive naturals, for example, 74997 + ... + 75003.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2525000 is an apocalyptic number.

525000 is a gapful number since it is divisible by the number (50) 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 525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

525000 is an abundant number, since it is smaller than the sum of its proper divisors (1349880).

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

525000 is an equidigital number, since it uses as much as digits as its factorization.

525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 525000 is about 724.5688373095. The cubic root of 525000 is about 80.6714323012.

Adding to 525000 its reverse (525), we get a palindrome (525525).

525000 divided by its reverse (525) gives a cube (1000 = 103).

It can be divided in two parts, 5 and 25000, that multiplied together give a cube (125000 = 503).

The spelling of 525000 in words is "five hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2500 2625 3000 3125 3500 3750 4200 4375 5000 5250 6250 7000 7500 8750 9375 10500 12500 13125 15000 17500 18750 21000 21875 25000 26250 35000 37500 43750 52500 65625 75000 87500 105000 131250 175000 262500 525000