Search a number
-
+
42355635 = 357403387
BaseRepresentation
bin1010000110010…
…0101110110011
32221200220000020
42201210232303
541320340020
64111454523
71023005550
oct241445663
987626006
1042355635
11219aa463
1212227443
138a0cb0a
1458a7a27
153ab9c40
hex2864bb3

42355635 has 16 divisors (see below), whose sum is σ = 77450496. Its totient is φ = 19362528.

The previous prime is 42355603. The next prime is 42355637. The reversal of 42355635 is 53655324.

42355635 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 42355635 - 25 = 42355603 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42355596 and 42355605.

It is not an unprimeable number, because it can be changed into a prime (42355637) 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, 201589 + ... + 201798.

It is an arithmetic number, because the mean of its divisors is an integer number (4840656).

Almost surely, 242355635 is an apocalyptic number.

42355635 is a deficient number, since it is larger than the sum of its proper divisors (35094861).

42355635 is a wasteful number, since it uses less digits than its factorization.

42355635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403402.

The product of its digits is 54000, while the sum is 33.

The square root of 42355635 is about 6508.1206964837. The cubic root of 42355635 is about 348.5810167840.

It can be divided in two parts, 4235 and 5635, that added together give a triangular number (9870 = T140).

The spelling of 42355635 in words is "forty-two million, three hundred fifty-five thousand, six hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 403387 1210161 2016935 2823709 6050805 8471127 14118545 42355635