Search a number
-
+
255056512 = 27101109181
BaseRepresentation
bin11110011001111…
…01101010000000
3122202221012202111
433030331222000
51010243302022
641150425104
76214641664
oct1714755200
9582835674
10255056512
11120a77807
1271502194
1340ac3119
1425c348a4
15175d2477
hexf33da80

255056512 has 64 divisors (see below), whose sum is σ = 520720200. Its totient is φ = 124416000.

The previous prime is 255056507. The next prime is 255056533. The reversal of 255056512 is 215650552.

255056512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 226924096 + 28132416 = 15064^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2550565122 = 130107648627212288, which contains 22 as substring.

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, 1409062 + ... + 1409242.

Almost surely, 2255056512 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 255056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260360100).

255056512 is an abundant number, since it is smaller than the sum of its proper divisors (265663688).

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

255056512 is a wasteful number, since it uses less digits than its factorization.

255056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 255056512 is about 15970.4887840041. The cubic root of 255056512 is about 634.1794116534.

The spelling of 255056512 in words is "two hundred fifty-five million, fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 109 128 181 202 218 362 404 436 724 808 872 1448 1616 1744 2896 3232 3488 5792 6464 6976 11009 11584 12928 13952 18281 19729 22018 23168 36562 39458 44036 73124 78916 88072 146248 157832 176144 292496 315664 352288 584992 631328 704576 1169984 1262656 1409152 1992629 2339968 2525312 3985258 7970516 15941032 31882064 63764128 127528256 255056512