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261040626 = 2327111271483
BaseRepresentation
bin11111000111100…
…10100111110010
3200012012020102100
433203302213302
51013311300001
641523001230
76316544250
oct1743624762
9605166370
10261040626
11124394760
1273509216
1342109b12
14269515d0
1517db5586
hexf8f29f2

261040626 has 96 divisors (see below), whose sum is σ = 711180288. Its totient is φ = 67223520.

The previous prime is 261040621. The next prime is 261040657. The reversal of 261040626 is 626040162.

It is a happy number.

261040626 is a `hidden beast` number, since 2 + 610 + 40 + 6 + 2 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 261040626.

It is not an unprimeable number, because it can be changed into a prime (261040621) 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 47 ways as a sum of consecutive naturals, for example, 175281 + ... + 176763.

It is an arithmetic number, because the mean of its divisors is an integer number (7408128).

Almost surely, 2261040626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261040626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355590144).

261040626 is an abundant number, since it is smaller than the sum of its proper divisors (450139662).

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

261040626 is a wasteful number, since it uses less digits than its factorization.

261040626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 261040626 is about 16156.7517156141. The cubic root of 261040626 is about 639.1008091816.

Adding to 261040626 its reverse (626040162), we get a palindrome (887080788).

The spelling of 261040626 in words is "two hundred sixty-one million, forty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 127 154 198 231 254 381 462 693 762 889 1143 1386 1397 1483 1778 2286 2667 2794 2966 4191 4449 5334 8001 8382 8898 9779 10381 12573 13347 16002 16313 19558 20762 25146 26694 29337 31143 32626 48939 58674 62286 88011 93429 97878 114191 146817 176022 186858 188341 228382 293634 342573 376682 565023 685146 1027719 1130046 1318387 1695069 2055438 2071751 2636774 3390138 3955161 4143502 6215253 7910322 11865483 12430506 14502257 18645759 23730966 29004514 37291518 43506771 87013542 130520313 261040626