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4256064 = 2634821
BaseRepresentation
bin10000001111000101000000
322000020020000
4100033011000
52042143224
6231120000
751114231
oct20170500
98006200
104256064
11244770a
121513000
13b602a7
147cb088
155910c9
hex40f140

4256064 has 70 divisors (see below), whose sum is σ = 12631674. Its totient is φ = 1416960.

The previous prime is 4256051. The next prime is 4256089. The reversal of 4256064 is 4606524.

It is a happy number.

4256064 is a `hidden beast` number, since 42 + 560 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 1016064 = 1800^2 + 1008^2 .

It is a super-2 number, since 2×42560642 = 36228161544192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4774 + ... + 5594.

Almost surely, 24256064 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 4256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315837).

4256064 is an abundant number, since it is smaller than the sum of its proper divisors (8375610).

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

4256064 is an equidigital number, since it uses as much as digits as its factorization.

4256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4256064 is about 2063.0230245928. The cubic root of 4256064 is about 162.0575926915.

It can be divided in two parts, 42560 and 64, that added together give a palindrome (42624).

The spelling of 4256064 in words is "four million, two hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 821 864 1296 1642 1728 2463 2592 3284 4926 5184 6568 7389 9852 13136 14778 19704 22167 26272 29556 39408 44334 52544 59112 66501 78816 88668 118224 133002 157632 177336 236448 266004 354672 472896 532008 709344 1064016 1418688 2128032 4256064