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42075144 = 2332584377
BaseRepresentation
bin1010000010000…
…0010000001000
32221011122020200
42200200100020
541232401034
64101452200
71020430026
oct240402010
987148220
1042075144
1121828751
1212111060
138942247
145833716
153a61a99
hex2820408

42075144 has 24 divisors (see below), whose sum is σ = 113953710. Its totient is φ = 14025024.

The previous prime is 42075133. The next prime is 42075151. The reversal of 42075144 is 44157024.

It can be written as a sum of positive squares in only one way, i.e., 39312900 + 2762244 = 6270^2 + 1662^2 .

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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292117 + ... + 292260.

Almost surely, 242075144 is an apocalyptic number.

It is an amenable number.

42075144 is an abundant number, since it is smaller than the sum of its proper divisors (71878566).

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

42075144 is a wasteful number, since it uses less digits than its factorization.

42075144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584389 (or 584382 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 42075144 is about 6486.5355930574. The cubic root of 42075144 is about 347.8098445876.

The spelling of 42075144 in words is "forty-two million, seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 584377 1168754 1753131 2337508 3506262 4675016 5259393 7012524 10518786 14025048 21037572 42075144