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42505224 = 2331771051
BaseRepresentation
bin1010001000100…
…1010000001000
32221222111012120
42202021100020
541340131344
64115011240
71024200636
oct242112010
987874176
1042505224
1121aa1893
1212299b20
138a62c28
145906356
153ae9219
hex2889408

42505224 has 16 divisors (see below), whose sum is σ = 106263120. Its totient is φ = 14168400.

The previous prime is 42505207. The next prime is 42505231. The reversal of 42505224 is 42250524.

It is a happy number.

It is a super-4 number, since 4×425052244 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1771051 = 42505224 / (4 + 2 + 5 + 0 + 5 + 2 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 42505194 and 42505203.

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 3 ways as a sum of consecutive naturals, for example, 885502 + ... + 885549.

It is an arithmetic number, because the mean of its divisors is an integer number (6641445).

Almost surely, 242505224 is an apocalyptic number.

It is an amenable number.

42505224 is an abundant number, since it is smaller than the sum of its proper divisors (63757896).

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

42505224 is a wasteful number, since it uses less digits than its factorization.

42505224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771060 (or 1771056 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42505224 is about 6519.6030554015. The cubic root of 42505224 is about 348.9909002206.

Adding to 42505224 its reverse (42250524), we get a palindrome (84755748).

The spelling of 42505224 in words is "forty-two million, five hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1771051 3542102 5313153 7084204 10626306 14168408 21252612 42505224