Search a number
-
+
42857766 = 23272937317
BaseRepresentation
bin1010001101111…
…1010100100110
32222122101210200
42203133110212
541432422031
64130331330
71030166520
oct243372446
988571720
1042857766
1122212746
1212429b46
138b57533
145998a10
153b688e6
hex28df526

42857766 has 96 divisors (see below), whose sum is σ = 113106240. Its totient is φ = 11467008.

The previous prime is 42857747. The next prime is 42857767. The reversal of 42857766 is 66775824.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42857767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135040 + ... + 135356.

It is an arithmetic number, because the mean of its divisors is an integer number (1178190).

Almost surely, 242857766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42857766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56553120).

42857766 is an abundant number, since it is smaller than the sum of its proper divisors (70248474).

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

42857766 is a wasteful number, since it uses less digits than its factorization.

42857766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 42857766 is about 6546.5843002286. The cubic root of 42857766 is about 349.9530984772.

The spelling of 42857766 in words is "forty-two million, eight hundred fifty-seven thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 37 42 58 63 74 87 111 126 174 203 222 259 261 317 333 406 518 522 609 634 666 777 951 1073 1218 1554 1827 1902 2146 2219 2331 2853 3219 3654 4438 4662 5706 6438 6657 7511 9193 9657 11729 13314 15022 18386 19314 19971 22533 23458 27579 35187 39942 45066 55158 64351 67599 70374 82103 82737 105561 128702 135198 164206 165474 193053 211122 246309 340141 386106 492618 579159 680282 738927 1020423 1158318 1477854 2040846 2380987 3061269 4761974 6122538 7142961 14285922 21428883 42857766