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42504330 = 23511196779
BaseRepresentation
bin1010001000100…
…1000010001010
32221222102222110
42202021002022
541340114310
64115003150
71024165221
oct242110212
987872873
1042504330
1121aa1150
12122994b6
138a626bb
145905cb8
153ae8d20
hex288908a

42504330 has 64 divisors (see below), whose sum is σ = 117158400. Its totient is φ = 9760320.

The previous prime is 42504313. The next prime is 42504337. The reversal of 42504330 is 3340524.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42504297 and 42504306.

It is not an unprimeable number, because it can be changed into a prime (42504337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2881 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (1830600).

Almost surely, 242504330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42504330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58579200).

42504330 is an abundant number, since it is smaller than the sum of its proper divisors (74654070).

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

42504330 is a wasteful number, since it uses less digits than its factorization.

42504330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42504330 is about 6519.5344925846. The cubic root of 42504330 is about 348.9884534621.

Adding to 42504330 its reverse (3340524), we get a palindrome (45844854).

The spelling of 42504330 in words is "forty-two million, five hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 6779 13558 20337 33895 40674 67790 74569 101685 128801 149138 203370 223707 257602 372845 386403 447414 644005 745690 772806 1118535 1288010 1416811 1932015 2237070 2833622 3864030 4250433 7084055 8500866 14168110 21252165 42504330