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82489248 = 2532286421
BaseRepresentation
bin1001110101010…
…10111110100000
312202012212222100
410322222332200
5132104123443
612104010400
72021101302
oct472527640
9182185870
1082489248
1142621436
1223760a00
131412240a
14ad53972
1573963d3
hex4eaafa0

82489248 has 36 divisors (see below), whose sum is σ = 234579618. Its totient is φ = 27496320.

The previous prime is 82489229. The next prime is 82489289. The reversal of 82489248 is 84298428.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43401744 + 39087504 = 6588^2 + 6252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×824892483 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142923 + ... + 143498.

Almost surely, 282489248 is an apocalyptic number.

It is an amenable number.

82489248 is an abundant number, since it is smaller than the sum of its proper divisors (152090370).

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

82489248 is a wasteful number, since it uses less digits than its factorization.

82489248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286437 (or 286426 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 82489248 is about 9082.3591648866. The cubic root of 82489248 is about 435.3104719732.

The spelling of 82489248 in words is "eighty-two million, four hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 286421 572842 859263 1145684 1718526 2291368 2577789 3437052 4582736 5155578 6874104 9165472 10311156 13748208 20622312 27496416 41244624 82489248