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42565314 = 23111759643
BaseRepresentation
bin1010001001011…
…1111011000010
32222002112122010
42202113323002
541344042224
64120153350
71024541061
oct242277302
988075563
1042565314
1122032a50
1212308856
138a8439c
1459201d8
153b0be29
hex2897ec2

42565314 has 64 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 11915520.

The previous prime is 42565309. The next prime is 42565321. The reversal of 42565314 is 41356524.

42565314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×425653144 (a number of 32 digits) contains 4444 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 31 ways as a sum of consecutive naturals, for example, 65877 + ... + 66519.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 242565314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42565314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

42565314 is an abundant number, since it is smaller than the sum of its proper divisors (57589566).

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

42565314 is a wasteful number, since it uses less digits than its factorization.

42565314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its digits is 14400, while the sum is 30.

The square root of 42565314 is about 6524.2098372140. The cubic root of 42565314 is about 349.1552799269.

The spelling of 42565314 in words is "forty-two million, five hundred sixty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 118 177 187 354 374 561 643 649 1003 1122 1286 1298 1929 1947 2006 3009 3858 3894 6018 7073 10931 11033 14146 21219 21862 22066 32793 33099 37937 42438 65586 66198 75874 113811 120241 227622 240482 360723 417307 644929 721446 834614 1251921 1289858 1934787 2503842 3869574 7094219 14188438 21282657 42565314