Search a number
-
+
42765387 = 37217109157
BaseRepresentation
bin1010001100100…
…0110001001011
32222110201002020
42203020301023
541421443022
64124335523
71026333300
oct243106113
988421066
1042765387
112215a2a5
12123a45a3
138b24482
1459730a7
153b4b35c
hex28c8c4b

42765387 has 48 divisors (see below), whose sum is σ = 71327520. Its totient is φ = 22643712.

The previous prime is 42765367. The next prime is 42765403. The reversal of 42765387 is 78356724.

It is not a de Polignac number, because 42765387 - 27 = 42765259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765367) 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, 272313 + ... + 272469.

It is an arithmetic number, because the mean of its divisors is an integer number (1485990).

Almost surely, 242765387 is an apocalyptic number.

42765387 is a deficient number, since it is larger than the sum of its proper divisors (28562133).

42765387 is a wasteful number, since it uses less digits than its factorization.

42765387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 42765387 is about 6539.5249827491. The cubic root of 42765387 is about 349.7014787917.

The spelling of 42765387 in words is "forty-two million, seven hundred sixty-five thousand, three hundred eighty-seven".

Divisors: 1 3 7 17 21 49 51 109 119 147 157 327 357 471 763 833 1099 1853 2289 2499 2669 3297 5341 5559 7693 8007 12971 16023 17113 18683 23079 38913 51339 56049 90797 119791 130781 272391 290921 359373 392343 838537 872763 2036447 2515611 6109341 14255129 42765387