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83252 = 22131601
BaseRepresentation
bin10100010100110100
311020012102
4110110310
510131002
61441232
7464501
oct242464
9136172
1083252
1157604
1240218
132bb80
14224a8
1519a02
hex14534

83252 has 12 divisors (see below), whose sum is σ = 156996. Its totient is φ = 38400.

The previous prime is 83243. The next prime is 83257. The reversal of 83252 is 25238.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 27556 = 236^2 + 166^2 .

It is a d-powerful number, because it can be written as 84 + 3 + 22 + 57 + 210 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83257) by changing a digit.

83252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 749 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (13083).

283252 is an apocalyptic number.

It is an amenable number.

83252 is a deficient number, since it is larger than the sum of its proper divisors (73744).

83252 is a wasteful number, since it uses less digits than its factorization.

83252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1616 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 83252 is about 288.5342267392. The cubic root of 83252 is about 43.6648083690.

It can be divided in two parts, 832 and 52, that multiplied together give a square (43264 = 2082).

The spelling of 83252 in words is "eighty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 13 26 52 1601 3202 6404 20813 41626 83252