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255430728 = 23327310343
BaseRepresentation
bin11110011100110…
…01000001001000
3122210122020002100
433032121001020
51010342240403
641202433400
76221061000
oct1716310110
9583566070
10255430728
11121202983
1271662860
1340bc4557
1425cd1000
15176582a3
hexf399048

255430728 has 96 divisors (see below), whose sum is σ = 806832000. Its totient is φ = 72973152.

The previous prime is 255430711. The next prime is 255430739. The reversal of 255430728 is 827034552.

255430728 is a `hidden beast` number, since 2 + 554 + 30 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255430692 and 255430701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19525 + ... + 29867.

It is an arithmetic number, because the mean of its divisors is an integer number (8404500).

Almost surely, 2255430728 is an apocalyptic number.

255430728 is a gapful number since it is divisible by the number (28) 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 255430728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403416000).

255430728 is an abundant number, since it is smaller than the sum of its proper divisors (551401272).

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

255430728 is a wasteful number, since it uses less digits than its factorization.

255430728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 255430728 is about 15982.2003491384. The cubic root of 255430728 is about 634.4894136877.

The spelling of 255430728 in words is "two hundred fifty-five million, four hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 6174 8232 10343 12348 20686 24696 31029 41372 62058 72401 82744 93087 124116 144802 186174 217203 248232 289604 372348 434406 506807 579208 651609 744696 868812 1013614 1303218 1520421 1737624 2027228 2606436 3040842 3547649 4054456 4561263 5212872 6081684 7095298 9122526 10642947 12163368 14190596 18245052 21285894 28381192 31928841 36490104 42571788 63857682 85143576 127715364 255430728