Search a number
-
+
42035663 = 377379197
BaseRepresentation
bin1010000001011…
…0100111001111
32221002122002102
42200112213033
541230120123
64100545315
71020203645
oct240264717
987078072
1042035663
112180101a
12120b223b
13892a297
145823195
153a55028
hex28169cf

42035663 has 16 divisors (see below), whose sum is σ = 44542080. Its totient is φ = 39626496.

The previous prime is 42035647. The next prime is 42035677. The reversal of 42035663 is 36653024.

42035663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42035663 - 24 = 42035647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035683) 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 15 ways as a sum of consecutive naturals, for example, 213281 + ... + 213477.

It is an arithmetic number, because the mean of its divisors is an integer number (2783880).

Almost surely, 242035663 is an apocalyptic number.

42035663 is a deficient number, since it is larger than the sum of its proper divisors (2506417).

42035663 is a wasteful number, since it uses less digits than its factorization.

42035663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 42035663 is about 6483.4915747612. The cubic root of 42035663 is about 347.7010220026.

Adding to 42035663 its reverse (36653024), we get a palindrome (78688687).

The spelling of 42035663 in words is "forty-two million, thirty-five thousand, six hundred sixty-three".

Divisors: 1 37 73 79 197 2701 2923 5767 7289 14381 15563 213379 532097 575831 1136099 42035663