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255769056 = 2533389761
BaseRepresentation
bin11110011111010…
…11100111100000
3122211021102012000
433033223213200
51010434102211
641214004000
76224000244
oct1717534740
9584242160
10255769056
11121414094
12717a6600
1340cb254a
1425d7c424
15176c3656
hexf3eb9e0

255769056 has 96 divisors (see below), whose sum is σ = 748893600. Its totient is φ = 84925440.

The previous prime is 255769037. The next prime is 255769061. The reversal of 255769056 is 650967552.

255769056 is a `hidden beast` number, since 2 + 557 + 6 + 90 + 5 + 6 = 666.

255769056 is digitally balanced in base 3, 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 (96).

It is a super-3 number, since 3×2557690563 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335716 + ... + 336476.

It is an arithmetic number, because the mean of its divisors is an integer number (7800975).

Almost surely, 2255769056 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 255769056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374446800).

255769056 is an abundant number, since it is smaller than the sum of its proper divisors (493124544).

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

255769056 is a wasteful number, since it uses less digits than its factorization.

255769056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 255769056 is about 15992.7813716064. The cubic root of 255769056 is about 634.7694254520.

The spelling of 255769056 in words is "two hundred fifty-five million, seven hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 389 432 761 778 864 1167 1522 1556 2283 2334 3044 3112 3501 4566 4668 6088 6224 6849 7002 9132 9336 10503 12176 12448 13698 14004 18264 18672 20547 21006 24352 27396 28008 36528 37344 41094 42012 54792 56016 73056 82188 84024 109584 112032 164376 168048 219168 296029 328752 336096 592058 657504 888087 1184116 1776174 2368232 2664261 3552348 4736464 5328522 7104696 7992783 9472928 10657044 14209392 15985566 21314088 28418784 31971132 42628176 63942264 85256352 127884528 255769056