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527331 = 3725111
BaseRepresentation
bin10000000101111100011
3222210100210
42000233203
5113333311
615145203
74324260
oct2005743
9883323
10527331
11330212
12215203
1315603c
14da267
15a63a6
hex80be3

527331 has 8 divisors (see below), whose sum is σ = 803584. Its totient is φ = 301320.

The previous prime is 527327. The next prime is 527333. The reversal of 527331 is 133725.

It is a happy number.

527331 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 527331 - 22 = 527327 is a prime.

It is a super-2 number, since 2×5273312 = 556155967122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 25111 = 527331 / (5 + 2 + 7 + 3 + 3 + 1).

It is a Duffinian number.

527331 is a lucky number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 527298 and 527307.

It is not an unprimeable number, because it can be changed into a prime (527333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12535 + ... + 12576.

It is an arithmetic number, because the mean of its divisors is an integer number (100448).

2527331 is an apocalyptic number.

527331 is a deficient number, since it is larger than the sum of its proper divisors (276253).

527331 is a wasteful number, since it uses less digits than its factorization.

527331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25121.

The product of its digits is 630, while the sum is 21.

The square root of 527331 is about 726.1755985986. The cubic root of 527331 is about 80.7906497529.

It can be divided in two parts, 527 and 331, that added together give a palindrome (858).

The spelling of 527331 in words is "five hundred twenty-seven thousand, three hundred thirty-one".

Divisors: 1 3 7 21 25111 75333 175777 527331