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42643314 = 2337373049
BaseRepresentation
bin1010001010101…
…0111101110010
32222020111122000
42202222331302
541404041224
64121554430
71025314350
oct242527562
988214560
1042643314
112208660a
1212345a16
138ab0a3c
1459407d0
153b250c9
hex28aaf72

42643314 has 64 divisors (see below), whose sum is σ = 111264000. Its totient is φ = 11850624.

The previous prime is 42643313. The next prime is 42643333. The reversal of 42643314 is 41334624.

42643314 is a `hidden beast` number, since 4 + 2 + 643 + 3 + 14 = 666.

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 (42643313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12462 + ... + 15510.

It is an arithmetic number, because the mean of its divisors is an integer number (1738500).

Almost surely, 242643314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42643314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55632000).

42643314 is an abundant number, since it is smaller than the sum of its proper divisors (68620686).

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

42643314 is a wasteful number, since it uses less digits than its factorization.

42643314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3098 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 42643314 is about 6530.1848365877. The cubic root of 42643314 is about 349.3684229056.

Adding to 42643314 its reverse (41334624), we get a palindrome (83977938).

The spelling of 42643314 in words is "forty-two million, six hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 3049 4662 6098 6993 9147 13986 18294 21343 27441 42686 54882 64029 82323 112813 128058 164646 192087 225626 338439 384174 576261 676878 789691 1015317 1152522 1579382 2030634 2369073 3045951 4738146 6091902 7107219 14214438 21321657 42643314