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42456016 = 243537517
BaseRepresentation
bin1010000111110…
…1001111010000
32221212222201001
42201331033100
541332043031
64113551344
71023604321
oct241751720
987788631
1042456016
1121a68919
1212275554
138a46705
1458d2448
153ad9861
hex287d3d0

42456016 has 20 divisors (see below), whose sum is σ = 82502532. Its totient is φ = 21165056.

The previous prime is 42455989. The next prime is 42456017. The reversal of 42456016 is 61065424.

42456016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 12250000 = 5496^2 + 3500^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456017) 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, 1890 + ... + 9406.

Almost surely, 242456016 is an apocalyptic number.

It is an amenable number.

42456016 is a deficient number, since it is larger than the sum of its proper divisors (40046516).

42456016 is a wasteful number, since it uses less digits than its factorization.

42456016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 42456016 is about 6515.8281131411. The cubic root of 42456016 is about 348.8561734432.

The spelling of 42456016 in words is "forty-two million, four hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 16 353 706 1412 2824 5648 7517 15034 30068 60136 120272 2653501 5307002 10614004 21228008 42456016