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42318384 = 2436197149
BaseRepresentation
bin1010000101101…
…1101000110000
32221121222220120
42201123220300
541313142014
64111010240
71022462133
oct241335060
987558816
1042318384
1121984479
1212209980
1389c8b84
14589821a
153aadba9
hex285ba30

42318384 has 80 divisors (see below), whose sum is σ = 113013600. Its totient is φ = 13639680.

The previous prime is 42318383. The next prime is 42318431. The reversal of 42318384 is 48381324.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42318383) 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 15 ways as a sum of consecutive naturals, for example, 283942 + ... + 284090.

It is an arithmetic number, because the mean of its divisors is an integer number (1412670).

Almost surely, 242318384 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 42318384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56506800).

42318384 is an abundant number, since it is smaller than the sum of its proper divisors (70695216).

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

42318384 is a wasteful number, since it uses less digits than its factorization.

42318384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 42318384 is about 6505.2581808872. The cubic root of 42318384 is about 348.4787966189.

The spelling of 42318384 in words is "forty-two million, three hundred eighteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 97 122 149 183 194 244 291 298 366 388 447 488 582 596 732 776 894 976 1164 1192 1464 1552 1788 2328 2384 2928 3576 4656 5917 7152 9089 11834 14453 17751 18178 23668 27267 28906 35502 36356 43359 47336 54534 57812 71004 72712 86718 94672 109068 115624 142008 145424 173436 218136 231248 284016 346872 436272 693744 881633 1763266 2644899 3526532 5289798 7053064 10579596 14106128 21159192 42318384