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42225732 = 22333710567
BaseRepresentation
bin1010000100010…
…1000001000100
32221110021211000
42201011001010
541302210412
64105013300
71021625043
oct241050104
987407730
1042225732
11219208aa
1212184230
138995953
14587255a
153a914dc
hex2845044

42225732 has 48 divisors (see below), whose sum is σ = 112443520. Its totient is φ = 13693536.

The previous prime is 42225709. The next prime is 42225779. The reversal of 42225732 is 23752224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42225696 and 42225705.

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, 1288 + ... + 9279.

Almost surely, 242225732 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 42225732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56221760).

42225732 is an abundant number, since it is smaller than the sum of its proper divisors (70217788).

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

42225732 is a wasteful number, since it uses less digits than its factorization.

42225732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617 (or 10609 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 42225732 is about 6498.1329626286. The cubic root of 42225732 is about 348.2242906069.

Adding to 42225732 its reverse (23752224), we get a palindrome (65977956).

The spelling of 42225732 in words is "forty-two million, two hundred twenty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 10567 21134 31701 42268 63402 95103 126804 190206 285309 380412 390979 570618 781958 1141236 1172937 1563916 2345874 3518811 4691748 7037622 10556433 14075244 21112866 42225732