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41480246889 = 3229223412
BaseRepresentation
bin100110101000011010…
…100101011001101001
310222001211101212111100
4212220122211121221
51134422420400024
631020013352013
72665630165254
oct465032453151
9128054355440
1041480246889
1116656577484
128057798609
133bb09498b3
14201700c09b
15112b92d7c9
hex9a86a5669

41480246889 has 27 divisors (see below), whose sum is σ = 62079740229. Its totient is φ = 26688523680.

The previous prime is 41480246881. The next prime is 41480246893. The reversal of 41480246889 is 98864208414.

It is a happy number.

The square root of 41480246889 is 203667.

It is a perfect power (a square), and thus also a powerful number.

41480246889 is a `hidden beast` number, since 4 + 1 + 480 + 24 + 68 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1320086889 + 40160160000 = 36333^2 + 200400^2 .

It is not a de Polignac number, because 41480246889 - 23 = 41480246881 is a prime.

It is a super-2 number, since 2×414802468892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41480246881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17717859 + ... + 17720199.

Almost surely, 241480246889 is an apocalyptic number.

41480246889 is the 203667-th square number.

41480246889 is the 101834-th centered octagonal number.

It is an amenable number.

41480246889 is a deficient number, since it is larger than the sum of its proper divisors (20599493340).

41480246889 is an frugal number, since it uses more digits than its factorization.

41480246889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

It can be divided in two parts, 41480 and 246889, that added together give a square (288369 = 5372).

The spelling of 41480246889 in words is "forty-one billion, four hundred eighty million, two hundred forty-six thousand, eight hundred eighty-nine".

Divisors: 1 3 9 29 87 261 841 2341 2523 7023 7569 21069 67889 203667 611001 1968781 5480281 5906343 16440843 17719029 49322529 158928149 476784447 1430353341 4608916321 13826748963 41480246889