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82569641 = 71129103359
BaseRepresentation
bin1001110101111…
…10100110101001
312202100222020212
410322332212221
5132114212031
612105430505
72021554550
oct472764651
9182328225
1082569641
1142676880
122379b435
131414cb9b
14ad74d97
1573b012b
hex4ebe9a9

82569641 has 32 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 61346880.

The previous prime is 82569637. The next prime is 82569659. The reversal of 82569641 is 14696528.

It is a happy number.

It is not a de Polignac number, because 82569641 - 22 = 82569637 is a prime.

It is a super-2 number, since 2×825696412 = 13635491229737762, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82569341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229820 + ... + 230178.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 282569641 is an apocalyptic number.

It is an amenable number.

82569641 is a deficient number, since it is larger than the sum of its proper divisors (25257559).

82569641 is a wasteful number, since it uses less digits than its factorization.

82569641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509.

The product of its digits is 103680, while the sum is 41.

The square root of 82569641 is about 9086.7838644924. The cubic root of 82569641 is about 435.4518421231.

The spelling of 82569641 in words is "eighty-two million, five hundred sixty-nine thousand, six hundred forty-one".

Divisors: 1 7 11 29 77 103 203 319 359 721 1133 2233 2513 2987 3949 7931 10411 20909 27643 32857 36977 72877 114521 229999 258839 406747 801647 1072333 2847229 7506331 11795663 82569641