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42832314 = 2347107353
BaseRepresentation
bin1010001101100…
…1000110111010
32222121002220000
42203121012322
541431113224
64130013430
71030032360
oct243310672
988532800
1042832314
11221a5608
1212417276
138b48a85
14598d630
153b610c9
hex28d91ba

42832314 has 80 divisors (see below), whose sum is σ = 111025728. Its totient is φ = 12089088.

The previous prime is 42832303. The next prime is 42832319. The reversal of 42832314 is 41323824.

42832314 is a `hidden beast` number, since 428 + 3 + 231 + 4 = 666.

42832314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42832319) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 121162 + ... + 121514.

Almost surely, 242832314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42832314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55512864).

42832314 is an abundant number, since it is smaller than the sum of its proper divisors (68193414).

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

42832314 is a wasteful number, since it uses less digits than its factorization.

42832314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 42832314 is about 6544.6400970565. The cubic root of 42832314 is about 349.8838090509.

The spelling of 42832314 in words is "forty-two million, eight hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 107 126 162 189 214 321 353 378 567 642 706 749 963 1059 1134 1498 1926 2118 2247 2471 2889 3177 4494 4942 5778 6354 6741 7413 8667 9531 13482 14826 17334 19062 20223 22239 28593 37771 40446 44478 57186 60669 66717 75542 113313 121338 133434 200151 226626 264397 339939 400302 528794 679878 793191 1019817 1586382 2039634 2379573 3059451 4759146 6118902 7138719 14277438 21416157 42832314