Search a number
-
+
529008 = 243103107
BaseRepresentation
bin10000001001001110000
3222212122220
42001021300
5113412013
615201040
74332204
oct2011160
9885586
10529008
113314a7
12216180
13156a2c
14dab04
15a6b23
hex81270

529008 has 40 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 172992.

The previous prime is 529007. The next prime is 529027. The reversal of 529008 is 800925.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (529003) 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, 4891 + ... + 4997.

2529008 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 529008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

529008 is an abundant number, since it is smaller than the sum of its proper divisors (863760).

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

529008 is a wasteful number, since it uses less digits than its factorization.

529008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 529008 is about 727.3293614313. The cubic root of 529008 is about 80.8762016803.

The spelling of 529008 in words is "five hundred twenty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 107 206 214 309 321 412 428 618 642 824 856 1236 1284 1648 1712 2472 2568 4944 5136 11021 22042 33063 44084 66126 88168 132252 176336 264504 529008