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56607606 = 23311157607
BaseRepresentation
bin1101011111110…
…0001101110110
310221111222001000
43113330031312
5103442420411
65341144130
71255104516
oct327741566
9127458030
1056607606
1129a54150
1216b5b046
13b95cb33
147737846
154e82956
hex35fc376

56607606 has 64 divisors (see below), whose sum is σ = 138332160. Its totient is φ = 17016480.

The previous prime is 56607587. The next prime is 56607613. The reversal of 56607606 is 60670665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92955 + ... + 93561.

It is an arithmetic number, because the mean of its divisors is an integer number (2161440).

Almost surely, 256607606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56607606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69166080).

56607606 is an abundant number, since it is smaller than the sum of its proper divisors (81724554).

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

56607606 is a wasteful number, since it uses less digits than its factorization.

56607606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 56607606 is about 7523.8026289902. The cubic root of 56607606 is about 383.9649626235.

The spelling of 56607606 in words is "fifty-six million, six hundred seven thousand, six hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 607 942 1214 1413 1727 1821 2826 3454 3642 4239 5181 5463 6677 8478 10362 10926 13354 15543 16389 20031 31086 32778 40062 46629 60093 93258 95299 120186 180279 190598 285897 360558 571794 857691 1048289 1715382 2096578 2573073 3144867 5146146 6289734 9434601 18869202 28303803 56607606