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256102016 = 272968993
BaseRepresentation
bin11110100001111…
…00111010000000
3122211220022220212
433100330322000
51011030231031
641225053252
76226555052
oct1720747200
9584808825
10256102016
11121621265
1271927228
134109ac71
14260278d2
151773c12b
hexf43ce80

256102016 has 32 divisors (see below), whose sum is σ = 527804100. Its totient is φ = 123633664.

The previous prime is 256102009. The next prime is 256102037. The reversal of 256102016 is 610201652.

It can be written as a sum of positive squares in 2 ways, for example, as 246615616 + 9486400 = 15704^2 + 3080^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 256101982 and 256102000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30785 + ... + 38208.

Almost surely, 2256102016 is an apocalyptic number.

It is an amenable number.

256102016 is an abundant number, since it is smaller than the sum of its proper divisors (271702084).

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

256102016 is an equidigital number, since it uses as much as digits as its factorization.

256102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69036 (or 69024 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 256102016 is about 16003.1876824588. The cubic root of 256102016 is about 635.0447534953.

Adding to 256102016 its reverse (610201652), we get a palindrome (866303668).

The spelling of 256102016 in words is "two hundred fifty-six million, one hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 68993 137986 275972 551944 1103888 2000797 2207776 4001594 4415552 8003188 8831104 16006376 32012752 64025504 128051008 256102016