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261026442 = 23361109727
BaseRepresentation
bin11111000111011…
…11001010001010
3200012011111222000
433203233022022
51013310321232
641522411430
76316455015
oct1743571212
9605144860
10261026442
11124385036
1273500b76
1342103521
142694a37c
1517db127c
hexf8ef28a

261026442 has 64 divisors (see below), whose sum is σ = 595795200. Its totient is φ = 84680640.

The previous prime is 261026429. The next prime is 261026489. The reversal of 261026442 is 244620162.

261026442 is a `hidden beast` number, since 2 + 6 + 10 + 2 + 644 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358683 + ... + 359409.

It is an arithmetic number, because the mean of its divisors is an integer number (9309300).

Almost surely, 2261026442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261026442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297897600).

261026442 is an abundant number, since it is smaller than the sum of its proper divisors (334768758).

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

261026442 is a wasteful number, since it uses less digits than its factorization.

261026442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 261026442 is about 16156.3127600328. The cubic root of 261026442 is about 639.0892334993.

The spelling of 261026442 in words is "two hundred sixty-one million, twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 109 122 183 218 327 366 549 654 727 981 1098 1454 1647 1962 2181 2943 3294 4362 5886 6543 6649 13086 13298 19629 19947 39258 39894 44347 59841 79243 88694 119682 133041 158486 179523 237729 266082 359046 399123 475458 713187 798246 1197369 1426374 2139561 2394738 4279122 4833823 9667646 14501469 29002938 43504407 87008814 130513221 261026442