Search a number
-
+
256354656 = 2534096529
BaseRepresentation
bin11110100011110…
…10100101100000
3122212101011110220
433101322211200
51011111322111
641234323040
76231656445
oct1721724540
9585334426
10256354656
11121784058
1271a29480
1341158c5c
14260919cc
151778be06
hexf47a960

256354656 has 48 divisors (see below), whose sum is σ = 674679600. Its totient is φ = 85229568.

The previous prime is 256354633. The next prime is 256354697. The reversal of 256354656 is 656453652.

256354656 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, 36000 + ... + 42528.

It is an arithmetic number, because the mean of its divisors is an integer number (14055825).

Almost surely, 2256354656 is an apocalyptic number.

It is an amenable number.

256354656 is an abundant number, since it is smaller than the sum of its proper divisors (418324944).

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

256354656 is a wasteful number, since it uses less digits than its factorization.

256354656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6943 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The square root of 256354656 is about 16011.0791641288. The cubic root of 256354656 is about 635.2535049161.

The spelling of 256354656 in words is "two hundred fifty-six million, three hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 4908 6529 6544 9816 13058 13088 19587 19632 26116 39174 39264 52232 78348 104464 156696 208928 313392 626784 2670361 5340722 8011083 10681444 16022166 21362888 32044332 42725776 64088664 85451552 128177328 256354656