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42282486 = 235192241
BaseRepresentation
bin1010000101001…
…0110111110110
32221120011200000
42201102313312
541311014421
64110132130
71022252361
oct241226766
987504600
1042282486
112195a504
12121b1046
1389b572c
1458890d8
153aa3226
hex2852df6

42282486 has 72 divisors (see below), whose sum is σ = 100684584. Its totient is φ = 13296960.

The previous prime is 42282479. The next prime is 42282497. The reversal of 42282486 is 68428224.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42282486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175326 + ... + 175566.

It is an arithmetic number, because the mean of its divisors is an integer number (1398397).

Almost surely, 242282486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42282486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50342292).

42282486 is an abundant number, since it is smaller than the sum of its proper divisors (58402098).

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

42282486 is a wasteful number, since it uses less digits than its factorization.

42282486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42282486 is about 6502.4984429064. The cubic root of 42282486 is about 348.3802324364.

The spelling of 42282486 in words is "forty-two million, two hundred eighty-two thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 241 243 342 361 482 486 513 722 723 1026 1083 1446 1539 2166 2169 3078 3249 4338 4579 4617 6498 6507 9158 9234 9747 13014 13737 19494 19521 27474 29241 39042 41211 58482 58563 82422 87001 87723 117126 123633 174002 175446 247266 261003 370899 522006 741798 783009 1112697 1566018 2225394 2349027 4698054 7047081 14094162 21141243 42282486