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4061385441 = 34732972
BaseRepresentation
bin1111001000010011…
…1101001011100001
3101111001012202110000
43302010331023201
531304203313231
61511001330213
7202434130611
oct36204751341
911431182400
104061385441
1117a4600aa3
12954196969
134c9565169
142a7572a41
1518b84d6e6
hexf213d2e1

4061385441 has 45 divisors (see below), whose sum is σ = 6215324841. Its totient is φ = 2642969088.

The previous prime is 4061385397. The next prime is 4061385463. The reversal of 4061385441 is 1445831604.

The square root of 4061385441 is 63729.

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

4061385441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1147041 + 4060238400 = 1071^2 + 63720^2 .

It is not a de Polignac number, because 4061385441 - 213 = 4061377249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4061385396 and 4061385405.

It is not an unprimeable number, because it can be changed into a prime (4061335441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41869905 + ... + 41870001.

Almost surely, 24061385441 is an apocalyptic number.

4061385441 is the 63729-th square number.

4061385441 is the 31865-th centered octagonal number.

It is an amenable number.

4061385441 is a deficient number, since it is larger than the sum of its proper divisors (2153939400).

4061385441 is an frugal number, since it uses more digits than its factorization.

4061385441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 4061385441 is about 1595.4801397763.

Multiplying 4061385441 by its sum of digits (36), we get a square (146209875876 = 3823742).

The spelling of 4061385441 in words is "four billion, sixty-one million, three hundred eighty-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 73 81 97 219 291 657 873 1971 2619 5329 5913 7081 7857 9409 15987 21243 28227 47961 63729 84681 143883 191187 254043 431649 516913 573561 686857 762129 1550739 2060571 4652217 6181713 13956651 18545139 41869953 50140561 55635417 150421683 451265049 1353795147 4061385441