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82753641 = 3233127779
BaseRepresentation
bin1001110111010…
…11100001101001
312202201022122200
410323223201221
5132141104031
612113410413
72023252155
oct473534151
9182638580
1082753641
1142792043
1223869a09
13141b5869
14adc2065
1573e98e6
hex4eeb869

82753641 has 12 divisors (see below), whose sum is σ = 119898480. Its totient is φ = 55000440.

The previous prime is 82753639. The next prime is 82753651. The reversal of 82753641 is 14635728.

82753641 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 3 + 641 = 666.

It is not a de Polignac number, because 82753641 - 21 = 82753639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82753596 and 82753605.

It is not an unprimeable number, because it can be changed into a prime (82753651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10911 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (9991540).

Almost surely, 282753641 is an apocalyptic number.

It is an amenable number.

82753641 is a deficient number, since it is larger than the sum of its proper divisors (37144839).

82753641 is a wasteful number, since it uses less digits than its factorization.

82753641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28116 (or 28113 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 82753641 is about 9096.9028245882. The cubic root of 82753641 is about 435.7750589677.

The spelling of 82753641 in words is "eighty-two million, seven hundred fifty-three thousand, six hundred forty-one".

Divisors: 1 3 9 331 993 2979 27779 83337 250011 9194849 27584547 82753641