Search a number
-
+
261250656 = 2534396199
BaseRepresentation
bin11111001001001…
…01111001100000
3200012120220112020
433210211321200
51013340010111
641531301440
76321410502
oct1744457140
9605526466
10261250656
11124518537
12735aa880
13421815b4
14269a7d72
1517e07906
hexf925e60

261250656 has 48 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 86871168.

The previous prime is 261250637. The next prime is 261250681. The reversal of 261250656 is 656052162.

It is a happy number.

261250656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39045 + ... + 45243.

It is an arithmetic number, because the mean of its divisors is an integer number (14322000).

Almost surely, 2261250656 is an apocalyptic number.

It is an amenable number.

261250656 is an abundant number, since it is smaller than the sum of its proper divisors (426205344).

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

261250656 is a wasteful number, since it uses less digits than its factorization.

261250656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6651 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 261250656 is about 16163.2501682057. The cubic root of 261250656 is about 639.2721673862.

The spelling of 261250656 in words is "two hundred sixty-one million, two hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 439 878 1317 1756 2634 3512 5268 6199 7024 10536 12398 14048 18597 21072 24796 37194 42144 49592 74388 99184 148776 198368 297552 595104 2721361 5442722 8164083 10885444 16328166 21770888 32656332 43541776 65312664 87083552 130625328 261250656