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40559664 = 243432457
BaseRepresentation
bin1001101010111…
…0010000110000
32211022122101210
42122232100300
540340402124
64005200120
71001515515
oct232562060
984278353
1040559664
1120993092
1211700040
138531502
14555b30c
153862a29
hex26ae430

40559664 has 60 divisors (see below), whose sum is σ = 107507256. Its totient is φ = 13176576.

The previous prime is 40559639. The next prime is 40559669. The reversal of 40559664 is 46695504.

It is not an unprimeable number, because it can be changed into a prime (40559669) 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 11 ways as a sum of consecutive naturals, for example, 88524 + ... + 88980.

Almost surely, 240559664 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 40559664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53753628).

40559664 is an abundant number, since it is smaller than the sum of its proper divisors (66947592).

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

40559664 is a wasteful number, since it uses less digits than its factorization.

40559664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 40559664 is about 6368.6469520613. The cubic root of 40559664 is about 343.5828276286.

The spelling of 40559664 in words is "forty million, five hundred fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 457 516 688 914 1032 1371 1828 1849 2064 2742 3656 3698 5484 5547 7312 7396 10968 11094 14792 19651 21936 22188 29584 39302 44376 58953 78604 88752 117906 157208 235812 314416 471624 844993 943248 1689986 2534979 3379972 5069958 6759944 10139916 13519888 20279832 40559664