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32012864 = 2613109353
BaseRepresentation
bin111101000011…
…1101001000000
32020020102101122
41322013221000
531143402424
63102051412
7536050652
oct172075100
966212348
1032012864
1117085814
12a879b68
13682b230
1443746d2
152c2545e
hex1e87a40

32012864 has 56 divisors (see below), whose sum is σ = 69235320. Its totient is φ = 14598144.

The previous prime is 32012837. The next prime is 32012867. The reversal of 32012864 is 46821023.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 30030400 = 1408^2 + 5480^2 .

It is a super-2 number, since 2×320128642 = 2049646922964992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (32012867) 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, 90512 + ... + 90864.

It is an arithmetic number, because the mean of its divisors is an integer number (1236345).

Almost surely, 232012864 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 32012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617660).

32012864 is an abundant number, since it is smaller than the sum of its proper divisors (37222456).

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

32012864 is a wasteful number, since it uses less digits than its factorization.

32012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 32012864 is about 5657.9911629482. The cubic root of 32012864 is about 317.5227470424.

Adding to 32012864 its reverse (46821023), we get a palindrome (78833887).

The spelling of 32012864 in words is "thirty-two million, twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 208 218 353 416 436 706 832 872 1412 1417 1744 2824 2834 3488 4589 5648 5668 6976 9178 11296 11336 18356 22592 22672 36712 38477 45344 73424 76954 90688 146848 153908 293696 307816 500201 615632 1000402 1231264 2000804 2462528 4001608 8003216 16006432 32012864