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532532 = 2272111319
BaseRepresentation
bin10000010000000110100
31000001111102
42002000310
5114020112
615225232
74345400
oct2020064
91001442
10532532
11334110
12218218
13158510
14dc100
15a7bc2
hex82034

532532 has 72 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 181440.

The previous prime is 532531. The next prime is 532537. The reversal of 532532 is 235235.

It is a d-powerful number, because it can be written as 52 + 32 + 52 + 23 + 312 + 210 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 532532.

It is not an unprimeable number, because it can be changed into a prime (532531) 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 23 ways as a sum of consecutive naturals, for example, 28019 + ... + 28037.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2532532 is an apocalyptic number.

532532 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 532532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

532532 is an abundant number, since it is smaller than the sum of its proper divisors (808108).

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

532532 is a wasteful number, since it uses less digits than its factorization.

532532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its digits is 900, while the sum is 20.

The square root of 532532 is about 729.7479016756. The cubic root of 532532 is about 81.0553906557.

Adding to 532532 its reverse (235235), we get a palindrome (767767).

The spelling of 532532 in words is "five hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 49 52 76 77 91 98 133 143 154 182 196 209 247 266 286 308 364 418 494 532 539 572 637 836 931 988 1001 1078 1274 1463 1729 1862 2002 2156 2548 2717 2926 3458 3724 4004 5434 5852 6916 7007 10241 10868 12103 14014 19019 20482 24206 28028 38038 40964 48412 76076 133133 266266 532532