Search a number
-
+
82148488 = 23171374409
BaseRepresentation
bin1001110010101…
…11110010001000
312201120120112121
410321113302020
5132012222423
612052421024
72015151652
oct471276210
9181516477
1082148488
1142409414
1223617774
1314033296
14aca56d2
15732a45d
hex4e57c88

82148488 has 32 divisors (see below), whose sum is σ = 164316600. Its totient is φ = 38367232.

The previous prime is 82148453. The next prime is 82148489. The reversal of 82148488 is 88484128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66292164 + 15856324 = 8142^2 + 3982^2 .

It is a super-2 number, since 2×821484882 = 13496748161372288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82148489) by changing a digit.

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, 16428 + ... + 20836.

Almost surely, 282148488 is an apocalyptic number.

It is an amenable number.

82148488 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

82148488 is a wasteful number, since it uses less digits than its factorization.

82148488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4565 counting only the distinct ones).

The product of its digits is 131072, while the sum is 43.

The square root of 82148488 is about 9063.5803080240. The cubic root of 82148488 is about 434.7102275880.

The spelling of 82148488 in words is "eighty-two million, one hundred forty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 17 34 68 136 137 274 548 1096 2329 4409 4658 8818 9316 17636 18632 35272 74953 149906 299812 599624 604033 1208066 2416132 4832264 10268561 20537122 41074244 82148488