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82533636 = 22322292601
BaseRepresentation
bin1001110101101…
…01110100000100
312202022010212100
410322311310010
5132112034021
612104552100
72021344563
oct472656404
9182263770
1082533636
1142651819
1223782630
1314139693
14ad65bda
1573a4626
hex4eb5d04

82533636 has 18 divisors (see below), whose sum is σ = 208626782. Its totient is φ = 27511200.

The previous prime is 82533611. The next prime is 82533677. The reversal of 82533636 is 63633528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54908100 + 27625536 = 7410^2 + 5256^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2292601 = 82533636 / (8 + 2 + 5 + 3 + 3 + 6 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 82533636.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1146265 + ... + 1146336.

Almost surely, 282533636 is an apocalyptic number.

It is an amenable number.

82533636 is an abundant number, since it is smaller than the sum of its proper divisors (126093146).

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

82533636 is a wasteful number, since it uses less digits than its factorization.

82533636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292611 (or 2292606 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 82533636 is about 9084.8024744625. The cubic root of 82533636 is about 435.3885391027.

The spelling of 82533636 in words is "eighty-two million, five hundred thirty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2292601 4585202 6877803 9170404 13755606 20633409 27511212 41266818 82533636