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42743593 = 1729277313
BaseRepresentation
bin1010001100001…
…1011100101001
32222102121012001
42203003130221
541420243333
64124051001
71026212614
oct243033451
988377161
1042743593
1122144992
1212393a61
138b17589
14596917b
153b44b7d
hex28c3729

42743593 has 16 divisors (see below), whose sum is σ = 47137680. Its totient is φ = 38578176.

The previous prime is 42743581. The next prime is 42743639. The reversal of 42743593 is 39534724.

It can be written as a sum of positive squares in 8 ways, for example, as 5631129 + 37112464 = 2373^2 + 6092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42743593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42743573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136405 + ... + 136717.

It is an arithmetic number, because the mean of its divisors is an integer number (2946105).

Almost surely, 242743593 is an apocalyptic number.

It is an amenable number.

42743593 is a deficient number, since it is larger than the sum of its proper divisors (4394087).

42743593 is a wasteful number, since it uses less digits than its factorization.

42743593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636.

The product of its digits is 90720, while the sum is 37.

The square root of 42743593 is about 6537.8584414164. The cubic root of 42743593 is about 349.6420640048.

The spelling of 42743593 in words is "forty-two million, seven hundred forty-three thousand, five hundred ninety-three".

Divisors: 1 17 29 277 313 493 4709 5321 8033 9077 86701 136561 154309 1473917 2514329 42743593