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42105544 = 2313894549
BaseRepresentation
bin1010000010011…
…1101011001000
32221020011221121
42200213223020
541234334134
64102245024
71020614455
oct240475310
987204847
1042105544
1121849578
1212126774
138953030
14584082c
153a6aab4
hex2827ac8

42105544 has 32 divisors (see below), whose sum is σ = 85995000. Its totient is φ = 19210752.

The previous prime is 42105523. The next prime is 42105563. The reversal of 42105544 is 44550124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27436644 + 14668900 = 5238^2 + 3830^2 .

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 7 ways as a sum of consecutive naturals, for example, 6982 + ... + 11530.

Almost surely, 242105544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42105544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42997500).

42105544 is an abundant number, since it is smaller than the sum of its proper divisors (43889456).

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

42105544 is a wasteful number, since it uses less digits than its factorization.

42105544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 42105544 is about 6488.8784855320. The cubic root of 42105544 is about 347.8935905779.

Adding to 42105544 its reverse (44550124), we get a palindrome (86655668).

The spelling of 42105544 in words is "forty-two million, one hundred five thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 4549 4628 9098 9256 18196 36392 59137 118274 236548 404861 473096 809722 1619444 3238888 5263193 10526386 21052772 42105544