Search a number
-
+
259081216 = 2105032
BaseRepresentation
bin11110111000101…
…00010000000000
3200001111200121121
433130110100000
51012311044331
641413002024
76264103552
oct1734242000
9601450547
10259081216
11123276609
1272923314
13418a1cc4
14265a14d2
1517b29c11
hexf714400

259081216 has 33 divisors (see below), whose sum is σ = 518941111. Its totient is φ = 129283072.

The previous prime is 259081183. The next prime is 259081231. The reversal of 259081216 is 612180952.

The square root of 259081216 is 16096.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 514821 + ... + 515323.

Almost surely, 2259081216 is an apocalyptic number.

259081216 is the 16096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259081216

259081216 is an abundant number, since it is smaller than the sum of its proper divisors (259859895).

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

259081216 is an frugal number, since it uses more digits than its factorization.

259081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 259081216 is about 637.4977293780.

The spelling of 259081216 in words is "two hundred fifty-nine million, eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 503 512 1006 1024 2012 4024 8048 16096 32192 64384 128768 253009 257536 506018 515072 1012036 2024072 4048144 8096288 16192576 32385152 64770304 129540608 259081216