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255836928 = 2834361127
BaseRepresentation
bin11110011111111…
…00001100000000
3122211101212021210
433033330030000
51010443240203
641215250120
76224402154
oct1717741400
9584355253
10255836928
11121460086
1271819940
13410073c9
1425d99064
15176d8803
hexf3fc300

255836928 has 144 divisors (see below), whose sum is σ = 713732096. Its totient is φ = 81285120.

The previous prime is 255836909. The next prime is 255836929. The reversal of 255836928 is 829638552.

255836928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (255836929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2014401 + ... + 2014527.

Almost surely, 2255836928 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 255836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356866048).

255836928 is an abundant number, since it is smaller than the sum of its proper divisors (457895168).

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

255836928 is a wasteful number, since it uses less digits than its factorization.

255836928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 255836928 is about 15994.9031882034. The cubic root of 255836928 is about 634.8255688870.

The spelling of 255836928 in words is "two hundred fifty-five million, eight hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 61 64 86 96 122 127 128 129 172 183 192 244 254 256 258 344 366 381 384 488 508 516 688 732 762 768 976 1016 1032 1376 1464 1524 1952 2032 2064 2623 2752 2928 3048 3904 4064 4128 5246 5461 5504 5856 6096 7747 7808 7869 8128 8256 10492 10922 11008 11712 12192 15494 15616 15738 16256 16383 16512 20984 21844 23241 23424 24384 30988 31476 32512 32766 33024 41968 43688 46482 46848 48768 61976 62952 65532 83936 87376 92964 97536 123952 125904 131064 167872 174752 185928 247904 251808 262128 333121 335744 349504 371856 495808 503616 524256 666242 671488 699008 743712 991616 999363 1007232 1048512 1332484 1398016 1487424 1983232 1998726 2014464 2097024 2664968 2974848 3997452 4194048 5329936 5949696 7994904 10659872 15989808 21319744 31979616 42639488 63959232 85278976 127918464 255836928