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252532 = 22729311
BaseRepresentation
bin111101101001110100
3110211102001
4331221310
531040112
65225044
72101150
oct755164
9424361
10252532
11162805
12102184
138ac37
1468060
154ec57
hex3da74

252532 has 24 divisors (see below), whose sum is σ = 524160. Its totient is φ = 104160.

The previous prime is 252509. The next prime is 252533. The reversal of 252532 is 235252.

It is a super-2 number, since 2×2525322 = 127544822048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2252532 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 252532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

252532 is an abundant number, since it is smaller than the sum of its proper divisors (271628).

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

252532 is a wasteful number, since it uses less digits than its factorization.

252532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its digits is 600, while the sum is 19.

The square root of 252532 is about 502.5256212374. The cubic root of 252532 is about 63.2080131911.

Adding to 252532 its reverse (235252), we get a palindrome (487784).

It can be divided in two parts, 252 and 532, that added together give a square (784 = 282).

The spelling of 252532 in words is "two hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 311 406 622 812 1244 2177 4354 8708 9019 18038 36076 63133 126266 252532