Search a number
-
+
529056 = 253211167
BaseRepresentation
bin10000001001010100000
3222212201200
42001022200
5113412211
615201200
74332303
oct2011240
9885650
10529056
11331540
12216200
13156a68
14dab3a
15a6b56
hex812a0

529056 has 72 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 159360.

The previous prime is 529051. The next prime is 529097. The reversal of 529056 is 650925.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5290562 = 559800502272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (529051) 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 11 ways as a sum of consecutive naturals, for example, 3085 + ... + 3251.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2529056 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 529056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

529056 is an abundant number, since it is smaller than the sum of its proper divisors (1122048).

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

529056 is a wasteful number, since it uses less digits than its factorization.

529056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 529056 is about 727.3623581132. The cubic root of 529056 is about 80.8786477304.

The spelling of 529056 in words is "five hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 167 176 198 264 288 334 352 396 501 528 668 792 1002 1056 1336 1503 1584 1837 2004 2672 3006 3168 3674 4008 5344 5511 6012 7348 8016 11022 12024 14696 16032 16533 22044 24048 29392 33066 44088 48096 58784 66132 88176 132264 176352 264528 529056