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42416544 = 253441839
BaseRepresentation
bin1010000111001…
…1100110100000
32221210222120010
42201303212200
541324312134
64113044520
71023351252
oct241634640
987728503
1042416544
1121a411a5
1212256740
138a31761
1458c1cd2
153accce9
hex28739a0

42416544 has 24 divisors (see below), whose sum is σ = 111343680. Its totient is φ = 14138816.

The previous prime is 42416527. The next prime is 42416551. The reversal of 42416544 is 44561424.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220824 + ... + 221015.

It is an arithmetic number, because the mean of its divisors is an integer number (4639320).

Almost surely, 242416544 is an apocalyptic number.

It is an amenable number.

42416544 is an abundant number, since it is smaller than the sum of its proper divisors (68927136).

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

42416544 is a wasteful number, since it uses less digits than its factorization.

42416544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441852 (or 441844 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42416544 is about 6512.7984768454. The cubic root of 42416544 is about 348.7480276349.

Adding to 42416544 its reverse (44561424), we get a palindrome (86977968).

The spelling of 42416544 in words is "forty-two million, four hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 441839 883678 1325517 1767356 2651034 3534712 5302068 7069424 10604136 14138848 21208272 42416544