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82933965 = 3251842977
BaseRepresentation
bin1001111000101…
…11100011001101
312210001111000100
410330113203031
5132212341330
612121321313
72024632662
oct474274315
9183044010
1082933965
11428a5574
1223936239
131424996a
14b02ba69
157433060
hex4f178cd

82933965 has 12 divisors (see below), whose sum is σ = 143752284. Its totient is φ = 44231424.

The previous prime is 82933957. The next prime is 82933967. The reversal of 82933965 is 56933928.

It can be written as a sum of positive squares in 2 ways, for example, as 53187849 + 29746116 = 7293^2 + 5454^2 .

It is not a de Polignac number, because 82933965 - 23 = 82933957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1842977 = 82933965 / (8 + 2 + 9 + 3 + 3 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 82933965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82933967) 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, 921444 + ... + 921533.

It is an arithmetic number, because the mean of its divisors is an integer number (11979357).

Almost surely, 282933965 is an apocalyptic number.

It is an amenable number.

82933965 is a deficient number, since it is larger than the sum of its proper divisors (60818319).

82933965 is a wasteful number, since it uses less digits than its factorization.

82933965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842988 (or 1842985 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 82933965 is about 9106.8087165593. The cubic root of 82933965 is about 436.0913539883.

The spelling of 82933965 in words is "eighty-two million, nine hundred thirty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 1842977 5528931 9214885 16586793 27644655 82933965