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82429536 = 2537122663
BaseRepresentation
bin1001110100111…
…00011001100000
312202002212001210
410322130121200
5132100221121
612102430120
72020432230
oct472343140
9182085053
1082429536
1142590592
1223732340
1314101197
14ad39cc0
157383876
hex4e9c660

82429536 has 48 divisors (see below), whose sum is σ = 247290624. Its totient is φ = 23551104.

The previous prime is 82429519. The next prime is 82429537. The reversal of 82429536 is 63592428.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 82429494 and 82429503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82429537) 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, 60660 + ... + 62003.

It is an arithmetic number, because the mean of its divisors is an integer number (5151888).

Almost surely, 282429536 is an apocalyptic number.

It is an amenable number.

82429536 is an abundant number, since it is smaller than the sum of its proper divisors (164861088).

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

82429536 is a wasteful number, since it uses less digits than its factorization.

82429536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122683 (or 122675 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 82429536 is about 9079.0713181470. The cubic root of 82429536 is about 435.2054096610.

The spelling of 82429536 in words is "eighty-two million, four hundred twenty-nine thousand, five hundred thirty-six".

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 122663 245326 367989 490652 735978 858641 981304 1471956 1717282 1962608 2575923 2943912 3434564 3925216 5151846 5887824 6869128 10303692 11775648 13738256 20607384 27476512 41214768 82429536