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42761214 = 23231197389
BaseRepresentation
bin1010001100011…
…1101111111110
32222110111100200
42203013233332
541421324324
64124304330
71026315156
oct243075776
988414320
1042761214
1122157151
12123a20a6
138b225c2
145971766
153b49ec9
hex28c7bfe

42761214 has 48 divisors (see below), whose sum is σ = 96370560. Its totient is φ = 13688640.

The previous prime is 42761203. The next prime is 42761219. The reversal of 42761214 is 41216724.

42761214 is a `hidden beast` number, since 42 + 7 + 612 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42761219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109732 + ... + 110120.

It is an arithmetic number, because the mean of its divisors is an integer number (2007720).

Almost surely, 242761214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42761214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48185280).

42761214 is an abundant number, since it is smaller than the sum of its proper divisors (53609346).

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

42761214 is a wasteful number, since it uses less digits than its factorization.

42761214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 622 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42761214 is about 6539.2059150940. The cubic root of 42761214 is about 349.6901039249.

Adding to 42761214 its reverse (41216724), we get a palindrome (83977938).

The spelling of 42761214 in words is "forty-two million, seven hundred sixty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 197 279 389 394 558 591 778 1167 1182 1773 2334 3501 3546 6107 7002 12059 12214 18321 24118 36177 36642 54963 72354 76633 108531 109926 153266 217062 229899 459798 689697 1379394 2375623 4751246 7126869 14253738 21380607 42761214