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525920 = 25519173
BaseRepresentation
bin10000000011001100000
3222201102112
42000121200
5113312140
615134452
74320203
oct2003140
9881375
10525920
1132a14a
12214428
131554c5
14d993a
15a5c65
hex80660

525920 has 48 divisors (see below), whose sum is σ = 1315440. Its totient is φ = 198144.

The previous prime is 525913. The next prime is 525923. The reversal of 525920 is 29525.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 525920.

It is not an unprimeable number, because it can be changed into a prime (525923) 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 7 ways as a sum of consecutive naturals, for example, 2954 + ... + 3126.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2525920 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 525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657720).

525920 is an abundant number, since it is smaller than the sum of its proper divisors (789520).

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

525920 is a wasteful number, since it uses less digits than its factorization.

525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 525920 is about 725.2034197382. The cubic root of 525920 is about 80.7185271630.

It can be divided in two parts, 5 and 25920, that multiplied together give a square (129600 = 3602).

The spelling of 525920 in words is "five hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 173 190 304 346 380 608 692 760 865 1384 1520 1730 2768 3040 3287 3460 5536 6574 6920 13148 13840 16435 26296 27680 32870 52592 65740 105184 131480 262960 525920