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42074016 = 253438271
BaseRepresentation
bin1010000001111…
…1111110100000
32221011120200220
42200133332200
541232332031
64101443040
71020423525
oct240377640
987146626
1042074016
1121827916
1212110480
13894188a
14583314c
153a61596
hex281ffa0

42074016 has 24 divisors (see below), whose sum is σ = 110444544. Its totient is φ = 14024640.

The previous prime is 42074009. The next prime is 42074017. The reversal of 42074016 is 61047024.

42074016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42074017) 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, 219040 + ... + 219231.

It is an arithmetic number, because the mean of its divisors is an integer number (4601856).

Almost surely, 242074016 is an apocalyptic number.

It is an amenable number.

42074016 is an abundant number, since it is smaller than the sum of its proper divisors (68370528).

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

42074016 is a wasteful number, since it uses less digits than its factorization.

42074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438284 (or 438276 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42074016 is about 6486.4486431329. The cubic root of 42074016 is about 347.8067363945.

The spelling of 42074016 in words is "forty-two million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 438271 876542 1314813 1753084 2629626 3506168 5259252 7012336 10518504 14024672 21037008 42074016