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42685866 = 2383253
BaseRepresentation
bin1010001011010…
…1010110101010
32222022200000000
42202311112222
541411421431
64122523430
71025552406
oct242652652
988280000
1042685866
1122105583
1212366576
138ac7212
145952106
153b329e6
hex28b55aa

42685866 has 36 divisors (see below), whose sum is σ = 96067842. Its totient is φ = 14224248.

The previous prime is 42685789. The next prime is 42685871. The reversal of 42685866 is 66858624.

42685866 is a `hidden beast` number, since 4 + 2 + 68 + 586 + 6 = 666.

42685866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22838841 + 19847025 = 4779^2 + 4455^2 .

It is a super-3 number, since 3×426858663 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11496 + ... + 14748.

Almost surely, 242685866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42685866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48033921).

42685866 is an abundant number, since it is smaller than the sum of its proper divisors (53381976).

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

42685866 is an frugal number, since it uses more digits than its factorization.

42685866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3258 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 42685866 is about 6533.4421249446. The cubic root of 42685866 is about 349.4845910427.

The spelling of 42685866 in words is "forty-two million, six hundred eighty-five thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 3253 4374 6506 6561 9759 13122 19518 29277 58554 87831 175662 263493 526986 790479 1580958 2371437 4742874 7114311 14228622 21342933 42685866