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261436056 = 23378318749
BaseRepresentation
bin11111001010100…
…11001010011000
3200012221022211220
433211103022120
51013411423211
641535252040
76323112150
oct1745231230
9605838756
10261436056
11124634862
127367a020
1342217abb
1426a15760
1517e42806
hexf953298

261436056 has 64 divisors (see below), whose sum is σ = 756000000. Its totient is φ = 73792128.

The previous prime is 261436039. The next prime is 261436061. The reversal of 261436056 is 650634162.

261436056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2614360562 = 136697622753670272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4570 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (11812500).

Almost surely, 2261436056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261436056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000000).

261436056 is an abundant number, since it is smaller than the sum of its proper divisors (494563944).

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

261436056 is a wasteful number, since it uses less digits than its factorization.

261436056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18848 (or 18844 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 261436056 is about 16168.9843836897. The cubic root of 261436056 is about 639.4233542910.

The spelling of 261436056 in words is "two hundred sixty-one million, four hundred thirty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 18749 37498 56247 74996 112494 131243 149992 224988 262486 393729 449976 524972 787458 1049944 1556167 1574916 3112334 3149832 4668501 6224668 9337002 10893169 12449336 18674004 21786338 32679507 37348008 43572676 65359014 87145352 130718028 261436056