Search a number
-
+
42002406 = 2322333467
BaseRepresentation
bin1010000000111…
…0011111100110
32221000221110200
42200032133212
541223034111
64100131330
71020004665
oct240163746
987027420
1042002406
1121789036
1212096b46
1389180c4
145814ddc
153a4a256
hex280e7e6

42002406 has 12 divisors (see below), whose sum is σ = 91005252. Its totient is φ = 14000796.

The previous prime is 42002383. The next prime is 42002431. The reversal of 42002406 is 60420024.

42002406 is a `hidden beast` number, since 420 + 0 + 240 + 6 = 666.

42002406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2333467 = 42002406 / (4 + 2 + 0 + 0 + 2 + 4 + 0 + 6).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1166716 + ... + 1166751.

It is an arithmetic number, because the mean of its divisors is an integer number (7583771).

Almost surely, 242002406 is an apocalyptic number.

42002406 is an abundant number, since it is smaller than the sum of its proper divisors (49002846).

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

42002406 is a wasteful number, since it uses less digits than its factorization.

42002406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333475 (or 2333472 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42002406 is about 6480.9263226795. The cubic root of 42002406 is about 347.6093019175.

The spelling of 42002406 in words is "forty-two million, two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 2333467 4666934 7000401 14000802 21001203 42002406