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36135252 = 22321003757
BaseRepresentation
bin1000100111011…
…0000101010100
32111222212020200
42021312011110
533222312002
63330300500
7616100406
oct211660524
974885220
1036135252
1119440a4a
1210127730
13764270a
144b28b76
15328bb1c
hex2276154

36135252 has 18 divisors (see below), whose sum is σ = 91341978. Its totient is φ = 12045072.

The previous prime is 36135233. The next prime is 36135259. The reversal of 36135252 is 25253163.

It can be written as a sum of positive squares in only one way, i.e., 22695696 + 13439556 = 4764^2 + 3666^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36135259) 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 5 ways as a sum of consecutive naturals, for example, 501843 + ... + 501914.

Almost surely, 236135252 is an apocalyptic number.

It is an amenable number.

36135252 is an abundant number, since it is smaller than the sum of its proper divisors (55206726).

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

36135252 is a wasteful number, since it uses less digits than its factorization.

36135252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003767 (or 1003762 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 36135252 is about 6011.2604335530. The cubic root of 36135252 is about 330.6057194694.

The spelling of 36135252 in words is "thirty-six million, one hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1003757 2007514 3011271 4015028 6022542 9033813 12045084 18067626 36135252