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82824929 = 1172710357
BaseRepresentation
bin1001110111111…
…00111011100001
312202211221102222
410323330323201
5132200344204
612115120425
72024000045
oct473747341
9182757388
1082824929
1142830660
12238a3115
131420c145
14b000025
157410abe
hex4efcee1

82824929 has 8 divisors (see below), whose sum is σ = 90487488. Its totient is φ = 75184560.

The previous prime is 82824893. The next prime is 82824941. The reversal of 82824929 is 92942828.

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

It is not a de Polignac number, because 82824929 - 212 = 82820833 is a prime.

It is a super-4 number, since 4×828249294 (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82824929.

It is not an unprimeable number, because it can be changed into a prime (82820929) 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, 2819 + ... + 13175.

It is an arithmetic number, because the mean of its divisors is an integer number (11310936).

Almost surely, 282824929 is an apocalyptic number.

It is an amenable number.

82824929 is a deficient number, since it is larger than the sum of its proper divisors (7662559).

82824929 is a wasteful number, since it uses less digits than its factorization.

82824929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095.

The product of its digits is 165888, while the sum is 44.

The square root of 82824929 is about 9100.8202377588. The cubic root of 82824929 is about 435.9001556436.

Subtracting from 82824929 its sum of digits (44), we obtain a triangular number (82824885 = T12870).

The spelling of 82824929 in words is "eighty-two million, eight hundred twenty-four thousand, nine hundred twenty-nine".

Divisors: 1 11 727 7997 10357 113927 7529539 82824929