Search a number
-
+
42788123 = 721078161
BaseRepresentation
bin1010001100111…
…0010100011011
32222111212021022
42203032110123
541423204443
64125033055
71026456500
oct243162433
988455238
1042788123
1122175394
12123b578b
138b31921
14597b4a7
153b52e68
hex28ce51b

42788123 has 12 divisors (see below), whose sum is σ = 50245272. Its totient is φ = 36328320.

The previous prime is 42788117. The next prime is 42788129. The reversal of 42788123 is 32188724.

42788123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42788117) and next prime (42788129).

It is not a de Polignac number, because 42788123 - 216 = 42722587 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42788129) 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 11 ways as a sum of consecutive naturals, for example, 1163 + ... + 9323.

It is an arithmetic number, because the mean of its divisors is an integer number (4187106).

Almost surely, 242788123 is an apocalyptic number.

42788123 is a deficient number, since it is larger than the sum of its proper divisors (7457149).

42788123 is a wasteful number, since it uses less digits than its factorization.

42788123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8275 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 42788123 is about 6541.2631043247. The cubic root of 42788123 is about 349.7634401487.

The spelling of 42788123 in words is "forty-two million, seven hundred eighty-eight thousand, one hundred twenty-three".

Divisors: 1 7 49 107 749 5243 8161 57127 399889 873227 6112589 42788123