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82376509 = 1710147977
BaseRepresentation
bin1001110100011…
…11011100111101
312202000011022211
410322033130331
5132042022014
612101340421
72020121515
oct472173475
9182004284
1082376509
1142554766
1223707711
13140b2cc7
14ad24845
157372cc4
hex4e8f73d

82376509 has 8 divisors (see below), whose sum is σ = 88087608. Its totient is φ = 76761600.

The previous prime is 82376507. The next prime is 82376513. The reversal of 82376509 is 90567328.

It can be written as a sum of positive squares in 4 ways, for example, as 71995225 + 10381284 = 8485^2 + 3222^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82376509 - 21 = 82376507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82376507) 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 7 ways as a sum of consecutive naturals, for example, 22272 + ... + 25705.

It is an arithmetic number, because the mean of its divisors is an integer number (11010951).

Almost surely, 282376509 is an apocalyptic number.

It is an amenable number.

82376509 is a deficient number, since it is larger than the sum of its proper divisors (5711099).

82376509 is a wasteful number, since it uses less digits than its factorization.

82376509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48095.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 82376509 is about 9076.1505606727. The cubic root of 82376509 is about 435.1120669557.

The spelling of 82376509 in words is "eighty-two million, three hundred seventy-six thousand, five hundred nine".

Divisors: 1 17 101 1717 47977 815609 4845677 82376509