Search a number
-
+
42566664 = 2337298737
BaseRepresentation
bin1010001001100…
…0010000001000
32222002121111010
42202120100020
541344113124
64120203520
71024545030
oct242302010
988077433
1042566664
1122033a68
12123095a0
138a84b9a
1459208c0
153b0c529
hex2898408

42566664 has 64 divisors (see below), whose sum is σ = 125827200. Its totient is φ = 11741184.

The previous prime is 42566659. The next prime is 42566681. The reversal of 42566664 is 46666524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 9240.

It is an arithmetic number, because the mean of its divisors is an integer number (1966050).

Almost surely, 242566664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42566664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62913600).

42566664 is an abundant number, since it is smaller than the sum of its proper divisors (83260536).

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

42566664 is a wasteful number, since it uses less digits than its factorization.

42566664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8778 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 42566664 is about 6524.3132971984. The cubic root of 42566664 is about 349.1589711534.

The spelling of 42566664 in words is "forty-two million, five hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 8737 17474 26211 34948 52422 61159 69896 104844 122318 183477 209688 244636 253373 366954 489272 506746 733908 760119 1013492 1467816 1520238 1773611 2026984 3040476 3547222 5320833 6080952 7094444 10641666 14188888 21283332 42566664