Search a number
-
+
255664128 = 2133101103
BaseRepresentation
bin11110011110100…
…10000000000000
3122211002002020210
433033102000000
51010422223003
641211434120
76223052316
oct1717220000
9584062223
10255664128
11121352275
1271755940
1340c76865
1425d520b6
15176a2503
hexf3d2000

255664128 has 112 divisors (see below), whose sum is σ = 695163456. Its totient is φ = 83558400.

The previous prime is 255664091. The next prime is 255664267. The reversal of 255664128 is 821466552.

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, 2482125 + ... + 2482227.

Almost surely, 2255664128 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 255664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347581728).

255664128 is an abundant number, since it is smaller than the sum of its proper divisors (439499328).

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

255664128 is a wasteful number, since it uses less digits than its factorization.

255664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 255664128 is about 15989.5005550517. The cubic root of 255664128 is about 634.6826098985.

The spelling of 255664128 in words is "two hundred fifty-five million, six hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 103 128 192 202 206 256 303 309 384 404 412 512 606 618 768 808 824 1024 1212 1236 1536 1616 1648 2048 2424 2472 3072 3232 3296 4096 4848 4944 6144 6464 6592 8192 9696 9888 10403 12288 12928 13184 19392 19776 20806 24576 25856 26368 31209 38784 39552 41612 51712 52736 62418 77568 79104 83224 103424 105472 124836 155136 158208 166448 206848 210944 249672 310272 316416 332896 413696 421888 499344 620544 632832 665792 827392 843776 998688 1241088 1265664 1331584 1997376 2482176 2531328 2663168 3994752 5326336 7989504 10652672 15979008 21305344 31958016 42610688 63916032 85221376 127832064 255664128