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255181056 = 2831361419
BaseRepresentation
bin11110011010111…
…00000100000000
3122210011112121020
433031130010000
51010311243211
641153225440
76216001044
oct1715340400
9583145536
10255181056
11121052339
1271562280
1340b37a10
1425c68024
1517609306
hexf35c100

255181056 has 144 divisors (see below), whose sum is σ = 745160640. Its totient is φ = 77045760.

The previous prime is 255181051. The next prime is 255181081. The reversal of 255181056 is 650181552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255181051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608815 + ... + 609233.

Almost surely, 2255181056 is an apocalyptic number.

255181056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372580320).

255181056 is an abundant number, since it is smaller than the sum of its proper divisors (489979584).

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

255181056 is a wasteful number, since it uses less digits than its factorization.

255181056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 255181056 is about 15974.3874999951. The cubic root of 255181056 is about 634.2826180470.

The spelling of 255181056 in words is "two hundred fifty-five million, one hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 128 156 183 192 208 244 256 312 366 384 416 419 488 624 732 768 793 832 838 976 1248 1257 1464 1586 1664 1676 1952 2379 2496 2514 2928 3172 3328 3352 3904 4758 4992 5028 5447 5856 6344 6704 7808 9516 9984 10056 10894 11712 12688 13408 15616 16341 19032 20112 21788 23424 25376 25559 26816 32682 38064 40224 43576 46848 50752 51118 53632 65364 76128 76677 80448 87152 101504 102236 107264 130728 152256 153354 160896 174304 203008 204472 261456 304512 306708 321792 332267 348608 408944 522912 609024 613416 664534 697216 817888 996801 1045824 1226832 1329068 1394432 1635776 1993602 2091648 2453664 2658136 3271552 3987204 4183296 4907328 5316272 6543104 7974408 9814656 10632544 15948816 19629312 21265088 31897632 42530176 63795264 85060352 127590528 255181056