Search a number
-
+
261033564 = 223114345989
BaseRepresentation
bin11111000111100…
…00111001011100
3200012011212201210
433203300321130
51013311033224
641522504420
76316514541
oct1743607134
9605155653
10261033564
1112438a420
1273505110
134210683c
142694cbc8
1517db3429
hexf8f0e5c

261033564 has 48 divisors (see below), whose sum is σ = 679916160. Its totient is φ = 77259840.

The previous prime is 261033517. The next prime is 261033587. The reversal of 261033564 is 465330162.

261033564 is digitally balanced in base 3, 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, 17319 + ... + 28670.

It is an arithmetic number, because the mean of its divisors is an integer number (14164920).

Almost surely, 2261033564 is an apocalyptic number.

It is an amenable number.

261033564 is an abundant number, since it is smaller than the sum of its proper divisors (418882596).

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

261033564 is a wasteful number, since it uses less digits than its factorization.

261033564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46050 (or 46048 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 261033564 is about 16156.5331677313. The cubic root of 261033564 is about 639.0950458761.

The spelling of 261033564 in words is "two hundred sixty-one million, thirty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 45989 91978 137967 183956 275934 505879 551868 1011758 1517637 1977527 2023516 3035274 3955054 5932581 6070548 7910108 11865162 21752797 23730324 43505594 65258391 87011188 130516782 261033564