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82469664 = 253431817
BaseRepresentation
bin1001110101001…
…10001100100000
312202011220010000
410322212030200
5132103012124
612103340000
72020660224
oct472461440
9182156100
1082469664
1142608752
1223751600
1314116524
14ad4a784
1573906c9
hex4ea6320

82469664 has 60 divisors (see below), whose sum is σ = 242548614. Its totient is φ = 27489024.

The previous prime is 82469659. The next prime is 82469677. The reversal of 82469664 is 46696428.

It can be written as a sum of positive squares in only one way, i.e., 54464400 + 28005264 = 7380^2 + 5292^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13317 + ... + 18500.

Almost surely, 282469664 is an apocalyptic number.

It is an amenable number.

82469664 is an abundant number, since it is smaller than the sum of its proper divisors (160078950).

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

82469664 is a wasteful number, since it uses less digits than its factorization.

82469664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31839 (or 31822 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 82469664 is about 9081.2809669121. The cubic root of 82469664 is about 435.2760198265.

The spelling of 82469664 in words is "eighty-two million, four hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 31817 63634 95451 127268 190902 254536 286353 381804 509072 572706 763608 859059 1018144 1145412 1527216 1718118 2290824 2577177 3054432 3436236 4581648 5154354 6872472 9163296 10308708 13744944 20617416 27489888 41234832 82469664