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82179648 = 2632142673
BaseRepresentation
bin1001110010111…
…11011001000000
312201122011021200
410321133121000
5132014222043
612053221200
72015341545
oct471373100
9181564250
1082179648
114242a871
1223631800
1314044515
14acb2bcc
1573347d3
hex4e5f640

82179648 has 42 divisors (see below), whose sum is σ = 235554774. Its totient is φ = 27393024.

The previous prime is 82179631. The next prime is 82179653. The reversal of 82179648 is 84697128.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 10810944 = 8448^2 + 3288^2 .

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 5 ways as a sum of consecutive naturals, for example, 70761 + ... + 71912.

It is an arithmetic number, because the mean of its divisors is an integer number (5608447).

Almost surely, 282179648 is an apocalyptic number.

It is an amenable number.

82179648 is an abundant number, since it is smaller than the sum of its proper divisors (153375126).

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

82179648 is a wasteful number, since it uses less digits than its factorization.

82179648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142691 (or 142678 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 82179648 is about 9065.2991125500. The cubic root of 82179648 is about 434.7651844055.

The spelling of 82179648 in words is "eighty-two million, one hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 142673 285346 428019 570692 856038 1141384 1284057 1712076 2282768 2568114 3424152 4565536 5136228 6848304 9131072 10272456 13696608 20544912 27393216 41089824 82179648