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528264 = 2332112329
BaseRepresentation
bin10000000111110001000
3222211122100
42000332020
5113401024
615153400
74330062
oct2007610
9884570
10528264
11330990
12215860
131565a9
14da732
15a67c9
hex80f88

528264 has 96 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 147840.

The previous prime is 528263. The next prime is 528289. The reversal of 528264 is 462825.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (528263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18202 + ... + 18230.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2528264 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 528264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

528264 is an abundant number, since it is smaller than the sum of its proper divisors (1156536).

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

528264 is a wasteful number, since it uses less digits than its factorization.

528264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 528264 is about 726.8177213029. The cubic root of 528264 is about 80.8382689680.

The spelling of 528264 in words is "five hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 29 33 36 44 46 58 66 69 72 87 88 92 99 116 132 138 174 184 198 207 232 253 261 264 276 319 348 396 414 506 522 552 638 667 696 759 792 828 957 1012 1044 1276 1334 1518 1656 1914 2001 2024 2088 2277 2552 2668 2871 3036 3828 4002 4554 5336 5742 6003 6072 7337 7656 8004 9108 11484 12006 14674 16008 18216 22011 22968 24012 29348 44022 48024 58696 66033 88044 132066 176088 264132 528264