Search a number
-
+
42777714 = 2375961283
BaseRepresentation
bin1010001100101…
…1110001110010
32222111022222210
42203023301302
541422341324
64124512550
71026414240
oct243136162
988438883
1042777714
1122168591
12123ab756
138b29c75
145977790
153b4ed29
hex28cbc72

42777714 has 64 divisors (see below), whose sum is σ = 101422080. Its totient is φ = 11776320.

The previous prime is 42777703. The next prime is 42777727. The reversal of 42777714 is 41777724.

42777714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 151017 + ... + 151299.

It is an arithmetic number, because the mean of its divisors is an integer number (1584720).

Almost surely, 242777714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42777714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50711040).

42777714 is an abundant number, since it is smaller than the sum of its proper divisors (58644366).

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

42777714 is a wasteful number, since it uses less digits than its factorization.

42777714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its digits is 76832, while the sum is 39.

The square root of 42777714 is about 6540.4674144896. The cubic root of 42777714 is about 349.7350757128.

The spelling of 42777714 in words is "forty-two million, seven hundred seventy-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 61 118 122 177 183 283 354 366 413 427 566 826 849 854 1239 1281 1698 1981 2478 2562 3599 3962 5943 7198 10797 11886 16697 17263 21594 25193 33394 34526 50091 50386 51789 75579 100182 103578 116879 120841 151158 233758 241682 350637 362523 701274 725046 1018517 2037034 3055551 6111102 7129619 14259238 21388857 42777714