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427036806 = 23376171831
BaseRepresentation
bin11001011101000…
…001000010000110
31002202112201101000
4121131001002012
51333310134211
6110212514130
713403516160
oct3135010206
91082481330
10427036806
111aa062089
12bb01b946
136a619901
1440a01930
1527754656
hex19741086

427036806 has 64 divisors (see below), whose sum is σ = 1086888960. Its totient is φ = 121746240.

The previous prime is 427036793. The next prime is 427036807. The reversal of 427036806 is 608630724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427036807) 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 31 ways as a sum of consecutive naturals, for example, 232311 + ... + 234141.

It is an arithmetic number, because the mean of its divisors is an integer number (16982640).

Almost surely, 2427036806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427036806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543444480).

427036806 is an abundant number, since it is smaller than the sum of its proper divisors (659852154).

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

427036806 is a wasteful number, since it uses less digits than its factorization.

427036806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427036806 is about 20664.8688841715. The cubic root of 427036806 is about 753.0464567138.

The spelling of 427036806 in words is "four hundred twenty-seven million, thirty-six thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 617 1234 1831 1851 3662 3702 4319 5493 5553 8638 10986 11106 12817 12957 16479 16659 25634 25914 32958 33318 38451 38871 49437 76902 77742 98874 115353 116613 230706 233226 346059 692118 1129727 2259454 3389181 6778362 7908089 10167543 15816178 20335086 23724267 30502629 47448534 61005258 71172801 142345602 213518403 427036806