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82533132 = 223211218947
BaseRepresentation
bin1001110101101…
…01101100001100
312202022010011200
410322311230030
5132112030012
612104545500
72021343243
oct472655414
9182263150
1082533132
1142651400
1223782290
1314139396
14ad6595a
1573a43dc
hex4eb5b0c

82533132 has 54 divisors (see below), whose sum is σ = 229327644. Its totient is φ = 25008720.

The previous prime is 82533107. The next prime is 82533133. The reversal of 82533132 is 23133528.

It is a junction number, because it is equal to n+sod(n) for n = 82533096 and 82533105.

It is not an unprimeable number, because it can be changed into a prime (82533133) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5118 + ... + 13829.

Almost surely, 282533132 is an apocalyptic number.

It is an amenable number.

82533132 is an abundant number, since it is smaller than the sum of its proper divisors (146794512).

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

82533132 is a wasteful number, since it uses less digits than its factorization.

82533132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18979 (or 18963 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 82533132 is about 9084.7747357873. The cubic root of 82533132 is about 435.3876528528.

The spelling of 82533132 in words is "eighty-two million, five hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 18947 37894 56841 75788 113682 170523 208417 227364 341046 416834 625251 682092 833668 1250502 1875753 2292587 2501004 3751506 4585174 6877761 7503012 9170348 13755522 20633283 27511044 41266566 82533132