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82532835 = 32571123819
BaseRepresentation
bin1001110101101…
…01100111100011
312202022002202200
410322311213203
5132112022320
612104544243
72021342340
oct472654743
9182262680
1082532835
1142651160
1223782083
13141391c8
14ad657c7
1573a4290
hex4eb59e3

82532835 has 48 divisors (see below), whose sum is σ = 178364160. Its totient is φ = 34297920.

The previous prime is 82532803. The next prime is 82532837. The reversal of 82532835 is 53823528.

It is not a de Polignac number, because 82532835 - 25 = 82532803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82532835.

It is not an unprimeable number, because it can be changed into a prime (82532837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8445 + ... + 15374.

It is an arithmetic number, because the mean of its divisors is an integer number (3715920).

Almost surely, 282532835 is an apocalyptic number.

82532835 is an abundant number, since it is smaller than the sum of its proper divisors (95831325).

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

82532835 is a wasteful number, since it uses less digits than its factorization.

82532835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23848 (or 23845 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 82532835 is about 9084.7583897427. The cubic root of 82532835 is about 435.3871305967.

The spelling of 82532835 in words is "eighty-two million, five hundred thirty-two thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 23819 71457 119095 166733 214371 262009 357285 500199 786027 833665 1071855 1310045 1500597 1834063 2358081 2500995 3930135 5502189 7502985 9170315 11790405 16506567 27510945 82532835