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82164048 = 2433474933
BaseRepresentation
bin1001110010110…
…11100101010000
312201121100212220
410321123211100
5132013222143
612053021040
72015245221
oct471334520
9181540786
1082164048
114241a07a
1223624780
131403a3a5
14acab248
15732ed83
hex4e5b950

82164048 has 40 divisors (see below), whose sum is σ = 212911968. Its totient is φ = 27303552.

The previous prime is 82164031. The next prime is 82164059. The reversal of 82164048 is 84046128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14190 + ... + 19122.

Almost surely, 282164048 is an apocalyptic number.

It is an amenable number.

82164048 is an abundant number, since it is smaller than the sum of its proper divisors (130747920).

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

82164048 is a wasteful number, since it uses less digits than its factorization.

82164048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82164048 is about 9064.4386478149. The cubic root of 82164048 is about 434.7376724596.

The spelling of 82164048 in words is "eighty-two million, one hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 347 694 1041 1388 2082 2776 4164 4933 5552 8328 9866 14799 16656 19732 29598 39464 59196 78928 118392 236784 1711751 3423502 5135253 6847004 10270506 13694008 20541012 27388016 41082024 82164048