Search a number
-
+
82105480 = 2355338729
BaseRepresentation
bin1001110010011…
…01010010001000
312201111101112201
410321031102020
5132004333410
612051445544
72014612402
oct471152210
9181441481
1082105480
114238a076
12235b68b4
1314019832
14ac93b72
15731c83a
hex4e4d488

82105480 has 32 divisors (see below), whose sum is σ = 188227800. Its totient is φ = 32221696.

The previous prime is 82105477. The next prime is 82105489. The reversal of 82105480 is 8450128.

It can be written as a sum of positive squares in 4 ways, for example, as 52446564 + 29658916 = 7242^2 + 5446^2 .

It is not an unprimeable number, because it can be changed into a prime (82105489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17245 + ... + 21484.

Almost surely, 282105480 is an apocalyptic number.

It is an amenable number.

82105480 is an abundant number, since it is smaller than the sum of its proper divisors (106122320).

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

82105480 is a wasteful number, since it uses less digits than its factorization.

82105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38793 (or 38789 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 82105480 is about 9061.2074250621. The cubic root of 82105480 is about 434.6343516485.

The spelling of 82105480 in words is "eighty-two million, one hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 38729 77458 154916 193645 309832 387290 774580 1549160 2052637 4105274 8210548 10263185 16421096 20526370 41052740 82105480