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64640128 = 277193797
BaseRepresentation
bin1111011010010…
…1010010000000
311111122001120211
43312211102000
5113021441003
610225243504
71413301120
oct366452200
9144561524
1064640128
11335400a3
1219793594
1310512cc7
148828c80
155a1c96d
hex3da5480

64640128 has 64 divisors (see below), whose sum is σ = 154958400. Its totient is φ = 26237952.

The previous prime is 64640123. The next prime is 64640129. The reversal of 64640128 is 82104646.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×646401282 = 8356692295712768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64640128.

It is not an unprimeable number, because it can be changed into a prime (64640123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15126 + ... + 18922.

It is an arithmetic number, because the mean of its divisors is an integer number (2421225).

Almost surely, 264640128 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 64640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77479200).

64640128 is an abundant number, since it is smaller than the sum of its proper divisors (90318272).

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

64640128 is a wasteful number, since it uses less digits than its factorization.

64640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 64640128 is about 8039.9084571903. The cubic root of 64640128 is about 401.3291783202.

The spelling of 64640128 in words is "sixty-four million, six hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 3797 4256 7594 8512 15188 17024 26579 30376 53158 60752 72143 106316 121504 144286 212632 243008 288572 425264 486016 505001 577144 850528 1010002 1154288 1701056 2020004 2308576 3402112 4040008 4617152 8080016 9234304 16160032 32320064 64640128