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42772743 = 32131971271
BaseRepresentation
bin1010001100101…
…0100100000111
32222111002011200
42203022210013
541422211433
64124433543
71026363606
oct243124407
988432150
1042772743
1122164882
12123a88b3
138b27920
145975a3d
153b4d613
hex28ca907

42772743 has 48 divisors (see below), whose sum is σ = 71285760. Its totient is φ = 24494400.

The previous prime is 42772739. The next prime is 42772747. The reversal of 42772743 is 34727724.

It is an interprime number because it is at equal distance from previous prime (42772739) and next prime (42772747).

It is not a de Polignac number, because 42772743 - 22 = 42772739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42772698 and 42772707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772747) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 157698 + ... + 157968.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 242772743 is an apocalyptic number.

42772743 is a deficient number, since it is larger than the sum of its proper divisors (28513017).

42772743 is a wasteful number, since it uses less digits than its factorization.

42772743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 42772743 is about 6540.0873847373. The cubic root of 42772743 is about 349.7215281570.

The spelling of 42772743 in words is "forty-two million, seven hundred seventy-two thousand, seven hundred forty-three".

Divisors: 1 3 9 13 19 39 57 71 117 171 213 247 271 639 741 813 923 1349 2223 2439 2769 3523 4047 5149 8307 10569 12141 15447 17537 19241 31707 46341 52611 57723 66937 157833 173169 200811 250133 365579 602433 750399 1096737 2251197 3290211 4752527 14257581 42772743