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256043136 = 27331137157
BaseRepresentation
bin11110100001011…
…10100010000000
3122211210100011010
433100232202000
51011021340021
641223520520
76226221306
oct1720564200
9584710133
10256043136
11121590aa8
12718b9140
134107a21b
1426010276
1517729976
hexf42e880

256043136 has 128 divisors (see below), whose sum is σ = 711682560. Its totient is φ = 81469440.

The previous prime is 256043083. The next prime is 256043141. The reversal of 256043136 is 631340652.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 1630770 + ... + 1630926.

It is an arithmetic number, because the mean of its divisors is an integer number (5560020).

Almost surely, 2256043136 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 256043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355841280).

256043136 is an abundant number, since it is smaller than the sum of its proper divisors (455639424).

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

256043136 is a wasteful number, since it uses less digits than its factorization.

256043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 256043136 is about 16001.3479432203. The cubic root of 256043136 is about 634.9960823947.

Adding to 256043136 its reverse (631340652), we get a palindrome (887383788).

The spelling of 256043136 in words is "two hundred fifty-six million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 137 157 186 192 248 274 314 372 384 411 471 496 548 628 744 822 942 992 1096 1256 1488 1644 1884 1984 2192 2512 2976 3288 3768 3968 4247 4384 4867 5024 5952 6576 7536 8494 8768 9734 10048 11904 12741 13152 14601 15072 16988 17536 19468 20096 21509 25482 26304 29202 30144 33976 38936 43018 50964 52608 58404 60288 64527 67952 77872 86036 101928 116808 129054 135904 155744 172072 203856 233616 258108 271808 311488 344144 407712 467232 516216 543616 622976 666779 688288 815424 934464 1032432 1333558 1376576 1630848 1868928 2000337 2064864 2667116 2753152 4000674 4129728 5334232 8001348 8259456 10668464 16002696 21336928 32005392 42673856 64010784 85347712 128021568 256043136