Search a number
-
+
256472568 = 23341123271
BaseRepresentation
bin11110100100101…
…11010111111000
3122212121011020000
433102113113320
51011124110233
641241033000
76232660302
oct1722272770
9585534200
10256472568
11121854700
1271a85760
134119a821
14260c2972
15177b1d13
hexf4975f8

256472568 has 120 divisors (see below), whose sum is σ = 789844440. Its totient is φ = 77695200.

The previous prime is 256472539. The next prime is 256472581. The reversal of 256472568 is 865274652.

256472568 is a `hidden beast` number, since 2 + 564 + 7 + 25 + 68 = 666.

256472568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 29 ways as a sum of consecutive naturals, for example, 76773 + ... + 80043.

It is an arithmetic number, because the mean of its divisors is an integer number (6582037).

Almost surely, 2256472568 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 256472568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394922220).

256472568 is an abundant number, since it is smaller than the sum of its proper divisors (533371872).

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

256472568 is a wasteful number, since it uses less digits than its factorization.

256472568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3287 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 256472568 is about 16014.7609410818. The cubic root of 256472568 is about 635.3508863214.

The spelling of 256472568 in words is "two hundred fifty-six million, four hundred seventy-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3271 3564 4356 6534 6542 7128 8712 9801 9813 13068 13084 19602 19626 26136 26168 29439 35981 39204 39252 58878 71962 78408 78504 88317 107943 117756 143924 176634 215886 235512 264951 287848 323829 353268 395791 431772 529902 647658 706536 791582 863544 971487 1059804 1187373 1295316 1583164 1942974 2119608 2374746 2590632 2914461 3166328 3562119 3885948 4749492 5828922 7124238 7771896 9498984 10686357 11657844 14248476 21372714 23315688 28496952 32059071 42745428 64118142 85490856 128236284 256472568