Search a number
-
+
42723890 = 25112173167
BaseRepresentation
bin1010001011111…
…0101000110010
32222101121011022
42202332220302
541414131030
64123415442
71026101306
oct242765062
988347138
1042723890
1122131100
1212384582
138b0b611
145961d06
153b3dde5
hex28bea32

42723890 has 96 divisors (see below), whose sum is σ = 93768192. Its totient is φ = 13939200.

The previous prime is 42723887. The next prime is 42723917. The reversal of 42723890 is 9832724.

42723890 = 1702 + 1712 + ... + 5102.

42723890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42723890.

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 47 ways as a sum of consecutive naturals, for example, 637637 + ... + 637703.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 242723890 is an apocalyptic number.

42723890 is an abundant number, since it is smaller than the sum of its proper divisors (51044302).

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

42723890 is a wasteful number, since it uses less digits than its factorization.

42723890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 42723890 is about 6536.3514287407. The cubic root of 42723890 is about 349.5883323156.

The spelling of 42723890 in words is "forty-two million, seven hundred twenty-three thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 17 22 31 34 55 62 67 85 110 121 134 155 170 187 242 310 335 341 374 527 605 670 682 737 935 1054 1139 1210 1474 1705 1870 2057 2077 2278 2635 3410 3685 3751 4114 4154 5270 5695 5797 7370 7502 8107 10285 10385 11390 11594 12529 16214 18755 20570 20770 22847 25058 28985 35309 37510 40535 45694 57970 62645 63767 70618 81070 114235 125290 127534 137819 176545 228470 251317 275638 318835 353090 388399 502634 637670 689095 776798 1256585 1378190 1941995 2513170 3883990 4272389 8544778 21361945 42723890