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261106245 = 325411371033
BaseRepresentation
bin11111001000000…
…10101001000101
3200012022120102200
433210002221011
51013320344440
641524225113
76320236461
oct1744025105
9605276380
10261106245
11124429a94
127353b199
134213094a
142696b4a1
1517dc9c30
hexf902a45

261106245 has 48 divisors (see below), whose sum is σ = 467458992. Its totient is φ = 134737920.

The previous prime is 261106231. The next prime is 261106283. The reversal of 261106245 is 542601162.

261106245 is a `hidden beast` number, since 2 + 611 + 0 + 6 + 2 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25281 + 261080964 = 159^2 + 16158^2 .

It is not a de Polignac number, because 261106245 - 27 = 261106117 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252249 + ... + 253281.

It is an arithmetic number, because the mean of its divisors is an integer number (9738729).

Almost surely, 2261106245 is an apocalyptic number.

It is an amenable number.

261106245 is a deficient number, since it is larger than the sum of its proper divisors (206352747).

261106245 is a wasteful number, since it uses less digits than its factorization.

261106245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 261106245 is about 16158.7822870413. The cubic root of 261106245 is about 639.1543559457.

The spelling of 261106245 in words is "two hundred sixty-one million, one hundred six thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 137 205 369 411 615 685 1033 1233 1845 2055 3099 5165 5617 6165 9297 15495 16851 28085 42353 46485 50553 84255 127059 141521 211765 252765 381177 424563 635295 707605 1273689 1905885 2122815 5802361 6368445 17407083 29011805 52221249 87035415 261106245