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529672 = 231113463
BaseRepresentation
bin10000001010100001000
3222220120111
42001110020
5113422142
615204104
74334143
oct2012410
9886514
10529672
11331a50
12216634
13157120
14db05a
15a6e17
hex81508

529672 has 32 divisors (see below), whose sum is σ = 1169280. Its totient is φ = 221760.

The previous prime is 529657. The next prime is 529673. The reversal of 529672 is 276925.

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

It is not an unprimeable number, because it can be changed into a prime (529673) 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 7 ways as a sum of consecutive naturals, for example, 913 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (36540).

529672 is a Friedman number, since it can be written as 926*572, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 572926 (with its own digits).

2529672 is an apocalyptic number.

529672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584640).

529672 is an abundant number, since it is smaller than the sum of its proper divisors (639608).

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

529672 is a wasteful number, since it uses less digits than its factorization.

529672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 529672 is about 727.7856827391. The cubic root of 529672 is about 80.9100255828.

The spelling of 529672 in words is "five hundred twenty-nine thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 463 572 926 1144 1852 3704 5093 6019 10186 12038 20372 24076 40744 48152 66209 132418 264836 529672