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261663064 = 231331277293
BaseRepresentation
bin11111001100010…
…10100101011000
3200020100212020121
433212022211120
51013441204224
641544203024
76325046035
oct1746124530
9606325217
10261663064
1112477a373
1273769474
1342297220
1426a7438c
1517e89be4
hexf98a958

261663064 has 64 divisors (see below), whose sum is σ = 549239040. Its totient is φ = 116052480.

The previous prime is 261663049. The next prime is 261663091. The reversal of 261663064 is 460366162.

261663064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 892902 + ... + 893194.

It is an arithmetic number, because the mean of its divisors is an integer number (8581860).

Almost surely, 2261663064 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 261663064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274619520).

261663064 is an abundant number, since it is smaller than the sum of its proper divisors (287575976).

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

261663064 is a wasteful number, since it uses less digits than its factorization.

261663064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 261663064 is about 16176.0027200789. The cubic root of 261663064 is about 639.6083736877.

The spelling of 261663064 in words is "two hundred sixty-one million, six hundred sixty-three thousand, sixty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 277 293 403 554 586 806 1108 1172 1612 2216 2344 3224 3601 3809 7202 7618 8587 9083 14404 15236 17174 18166 28808 30472 34348 36332 68696 72664 81161 111631 118079 162322 223262 236158 324644 446524 472316 649288 893048 944632 1055093 2110186 2515991 4220372 5031982 8440744 10063964 20127928 32707883 65415766 130831532 261663064