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82965753 = 32133791871
BaseRepresentation
bin1001111000111…
…11010011111001
312210010002121200
410330133103321
5132214401003
612122124413
72025124443
oct474372371
9183102550
1082965753
1142917442
1223950709
131425b280
14b039493
15743c6a3
hex4f1f4f9

82965753 has 24 divisors (see below), whose sum is σ = 129467520. Its totient is φ = 50893920.

The previous prime is 82965739. The next prime is 82965769. The reversal of 82965753 is 35756928.

It is a happy number.

It is not a de Polignac number, because 82965753 - 24 = 82965737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82965699 and 82965708.

It is not an unprimeable number, because it can be changed into a prime (82965793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43408 + ... + 45278.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 282965753 is an apocalyptic number.

It is an amenable number.

82965753 is a deficient number, since it is larger than the sum of its proper divisors (46501767).

82965753 is a wasteful number, since it uses less digits than its factorization.

82965753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2266 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 82965753 is about 9108.5538369162. The cubic root of 82965753 is about 436.1470637778.

The spelling of 82965753 in words is "eighty-two million, nine hundred sixty-five thousand, seven hundred fifty-three".

Divisors: 1 3 9 13 39 117 379 1137 1871 3411 4927 5613 14781 16839 24323 44343 72969 218907 709109 2127327 6381981 9218417 27655251 82965753