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42283566 = 23313293167
BaseRepresentation
bin1010000101001…
…1001000101110
32221120020011000
42201103020232
541311033231
64110141130
71022255463
oct241231056
987506130
1042283566
11219602a6
12121b17a6
1389b6080
14588966a
153aa36e6
hex285322e

42283566 has 128 divisors (see below), whose sum is σ = 109670400. Its totient is φ = 11975040.

The previous prime is 42283547. The next prime is 42283567. The reversal of 42283566 is 66538224.

It is a self number, because there is not a number n which added to its sum of digits gives 42283566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42283567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631065 + ... + 631131.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 242283566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42283566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835200).

42283566 is an abundant number, since it is smaller than the sum of its proper divisors (67386834).

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

42283566 is a wasteful number, since it uses less digits than its factorization.

42283566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42283566 is about 6502.5814873787. The cubic root of 42283566 is about 348.3831985774.

It can be divided in two parts, 42283 and 566, that added together give a square (42849 = 2072).

The spelling of 42283566 in words is "forty-two million, two hundred eighty-three thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 31 39 54 58 62 67 78 87 93 117 134 174 186 201 234 261 279 351 377 402 403 522 558 603 702 754 783 806 837 871 899 1131 1206 1209 1566 1674 1742 1798 1809 1943 2077 2262 2418 2613 2697 3393 3618 3627 3886 4154 5226 5394 5829 6231 6786 7254 7839 8091 10179 10881 11658 11687 12462 15678 16182 17487 18693 20358 21762 23374 23517 24273 25259 27001 34974 35061 37386 47034 48546 50518 52461 54002 56079 60233 70122 75777 81003 104922 105183 112158 120466 151554 162006 180699 210366 227331 243009 315549 361398 454662 486018 542097 631098 681993 729027 783029 1084194 1363986 1458054 1566058 1626291 2349087 3252582 4698174 7047261 14094522 21141783 42283566