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42743544 = 2333173787
BaseRepresentation
bin1010001100001…
…1011011111000
32222102121010020
42203003123320
541420243134
64124050440
71026212514
oct243033370
988377106
1042743544
1122144948
1212393a20
138b1754c
145969144
153b44b49
hex28c36f8

42743544 has 64 divisors (see below), whose sum is σ = 111959040. Its totient is φ = 13582080.

The previous prime is 42743507. The next prime is 42743551. The reversal of 42743544 is 44534724.

42743544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (53760) is a multiple of the sum of its prime divisors (896).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53919 + ... + 54705.

It is an arithmetic number, because the mean of its divisors is an integer number (1749360).

Almost surely, 242743544 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 42743544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55979520).

42743544 is an abundant number, since it is smaller than the sum of its proper divisors (69215496).

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

42743544 is a wasteful number, since it uses less digits than its factorization.

42743544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its digits is 53760, while the sum is 33.

The square root of 42743544 is about 6537.8546940109. The cubic root of 42743544 is about 349.6419303983.

The spelling of 42743544 in words is "forty-two million, seven hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 73 93 124 146 186 219 248 292 372 438 584 744 787 876 1574 1752 2263 2361 3148 4526 4722 6296 6789 9052 9444 13578 18104 18888 24397 27156 48794 54312 57451 73191 97588 114902 146382 172353 195176 229804 292764 344706 459608 585528 689412 1378824 1780981 3561962 5342943 7123924 10685886 14247848 21371772 42743544