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42812766 = 23317149313
BaseRepresentation
bin1010001101010…
…0010101011110
32222120010002000
42203110111132
541430002031
64125343130
71026621363
oct243242536
988503060
1042812766
1122191957
1212407aa6
138b3cbc9
14598646a
153b5a3e6
hex28d455e

42812766 has 64 divisors (see below), whose sum is σ = 101736000. Its totient is φ = 13298688.

The previous prime is 42812747. The next prime is 42812779. The reversal of 42812766 is 66721824.

42812766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42812766.

It is a congruent 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, 136626 + ... + 136938.

It is an arithmetic number, because the mean of its divisors is an integer number (1589625).

Almost surely, 242812766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42812766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50868000).

42812766 is an abundant number, since it is smaller than the sum of its proper divisors (58923234).

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

42812766 is a wasteful number, since it uses less digits than its factorization.

42812766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42812766 is about 6543.1464907948. The cubic root of 42812766 is about 349.8305737806.

The spelling of 42812766 in words is "forty-two million, eight hundred twelve thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 149 153 298 306 313 447 459 626 894 918 939 1341 1878 2533 2682 2817 4023 5066 5321 5634 7599 8046 8451 10642 15198 15963 16902 22797 31926 45594 46637 47889 68391 93274 95778 136782 139911 143667 279822 287334 419733 792829 839466 1259199 1585658 2378487 2518398 4756974 7135461 14270922 21406383 42812766