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82534368 = 2537122819
BaseRepresentation
bin1001110101101…
…01111111100000
312202022011212110
410322311333200
5132112044433
612104555320
72021346660
oct472657740
9182264773
1082534368
1142652324
1223782b40
1314139b07
14ad661a0
1573a4963
hex4eb5fe0

82534368 has 48 divisors (see below), whose sum is σ = 247605120. Its totient is φ = 23581056.

The previous prime is 82534367. The next prime is 82534393. The reversal of 82534368 is 86343528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82534363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60738 + ... + 62081.

It is an arithmetic number, because the mean of its divisors is an integer number (5158440).

Almost surely, 282534368 is an apocalyptic number.

It is an amenable number.

82534368 is an abundant number, since it is smaller than the sum of its proper divisors (165070752).

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

82534368 is a wasteful number, since it uses less digits than its factorization.

82534368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122839 (or 122831 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 82534368 is about 9084.8427614351. The cubic root of 82534368 is about 435.3898262687.

It can be divided in two parts, 8253 and 4368, that added together give a palindrome (12621).

The spelling of 82534368 in words is "eighty-two million, five hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 122819 245638 368457 491276 736914 859733 982552 1473828 1719466 1965104 2579199 2947656 3438932 3930208 5158398 5895312 6877864 10316796 11790624 13755728 20633592 27511456 41267184 82534368