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42461072 = 243185607
BaseRepresentation
bin1010000111111…
…0011110010000
32221220020122022
42201332132100
541332223242
64114031012
71023625133
oct241763620
987806568
1042461072
1121a716a5
1212278468
138a48ac4
1458d421a
153adb0d2
hex287e790

42461072 has 20 divisors (see below), whose sum is σ = 84923136. Its totient is φ = 20545440.

The previous prime is 42461051. The next prime is 42461077. The reversal of 42461072 is 27016424.

42461072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

42461072 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (42461077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42308 + ... + 43299.

Almost surely, 242461072 is an apocalyptic number.

It is an amenable number.

42461072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

42461072 is a wasteful number, since it uses less digits than its factorization.

42461072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85646 (or 85640 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 42461072 is about 6516.2160799040. The cubic root of 42461072 is about 348.8700210826.

Adding to 42461072 its reverse (27016424), we get a palindrome (69477496).

The spelling of 42461072 in words is "forty-two million, four hundred sixty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 85607 171214 342428 684856 1369712 2653817 5307634 10615268 21230536 42461072