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520752 = 24319571
BaseRepresentation
bin1111111001000110000
3222110100010
41333020300
5113131002
615054520
74266141
oct1771060
9873303
10520752
11326281
12211440
1315304b
14d7ac8
15a446c
hex7f230

520752 has 40 divisors (see below), whose sum is σ = 1418560. Its totient is φ = 164160.

The previous prime is 520747. The next prime is 520759. The reversal of 520752 is 257025.

It is not an unprimeable number, because it can be changed into a prime (520759) by changing a digit.

520752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (35464).

2520752 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 520752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709280).

520752 is an abundant number, since it is smaller than the sum of its proper divisors (897808).

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

520752 is a wasteful number, since it uses less digits than its factorization.

520752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 520752 is about 721.6314849007. The cubic root of 520752 is about 80.4532604207.

Adding to 520752 its reverse (257025), we get a palindrome (777777).

The spelling of 520752 in words is "five hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 571 912 1142 1713 2284 3426 4568 6852 9136 10849 13704 21698 27408 32547 43396 65094 86792 130188 173584 260376 520752