Search a number
-
+
528656 = 24193747
BaseRepresentation
bin10000001000100010000
3222212011212
42001010100
5113404111
615155252
74331162
oct2010420
9885155
10528656
11331207
12215b28
1315681b
14da932
15a698b
hex81110

528656 has 40 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 238464.

The previous prime is 528631. The next prime is 528659. The reversal of 528656 is 656825.

It is a happy number.

It is a d-powerful number, because it can be written as 52 + 219 + 6 + 84 + 52 + 63 .

It is a nialpdrome in base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (528659) 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, 11225 + ... + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2528656 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 528656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

528656 is an abundant number, since it is smaller than the sum of its proper divisors (602224).

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

528656 is a wasteful number, since it uses less digits than its factorization.

528656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 528656 is about 727.0873400081. The cubic root of 528656 is about 80.8582594566.

The spelling of 528656 in words is "five hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 37 38 47 74 76 94 148 152 188 296 304 376 592 703 752 893 1406 1739 1786 2812 3478 3572 5624 6956 7144 11248 13912 14288 27824 33041 66082 132164 264328 528656