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42765723 = 327111347101
BaseRepresentation
bin1010001100100…
…0110110011011
32222110201112200
42203020312123
541422000343
64124341243
71026334260
oct243106633
988421480
1042765723
112215a580
12123a4823
138b24680
145973267
153b4b4d3
hex28c8d9b

42765723 has 96 divisors (see below), whose sum is σ = 85542912. Its totient is φ = 19872000.

The previous prime is 42765721. The next prime is 42765731. The reversal of 42765723 is 32756724.

It is a happy number.

42765723 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42765723 - 21 = 42765721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42765721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 423373 + ... + 423473.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 242765723 is an apocalyptic number.

42765723 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

42765723 is a wasteful number, since it uses less digits than its factorization.

42765723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 42765723 is about 6539.5506726380. The cubic root of 42765723 is about 349.7023946366.

It can be divided in two parts, 4276 and 5723, that added together give a palindrome (9999).

The spelling of 42765723 in words is "forty-two million, seven hundred sixty-five thousand, seven hundred twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 47 63 77 91 99 101 117 141 143 231 273 303 329 423 429 517 611 693 707 819 909 987 1001 1111 1287 1313 1551 1833 2121 2961 3003 3333 3619 3939 4277 4653 4747 5499 6363 6721 7777 9009 9191 9999 10857 11817 12831 14241 14443 20163 23331 27573 32571 33229 38493 42723 43329 47047 52217 60489 61711 69993 82719 99687 101101 129987 141141 156651 185133 299061 303303 365519 423423 431977 469953 555399 678821 909909 1096557 1295931 2036463 3289671 3887793 4751747 6109389 14255241 42765723