Search a number
-
+
42384042 = 2325993931
BaseRepresentation
bin1010000110101…
…1101010101010
32221202022222100
42201223222222
541322242132
64112234230
71023154431
oct241535252
987668870
1042384042
1121a19838
121223b976
138a1ca1c
1458b4118
153ac337c
hex286baaa

42384042 has 24 divisors (see below), whose sum is σ = 92008800. Its totient is φ = 14100840.

The previous prime is 42384031. The next prime is 42384059. The reversal of 42384042 is 24048324.

It is a happy number.

42384042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42383997 and 42384015.

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 11 ways as a sum of consecutive naturals, for example, 8817 + ... + 12747.

It is an arithmetic number, because the mean of its divisors is an integer number (3833700).

Almost surely, 242384042 is an apocalyptic number.

42384042 is an abundant number, since it is smaller than the sum of its proper divisors (49624758).

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

42384042 is a wasteful number, since it uses less digits than its factorization.

42384042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42384042 is about 6510.3027579368. The cubic root of 42384042 is about 348.6589279289.

The spelling of 42384042 in words is "forty-two million, three hundred eighty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 599 1198 1797 3594 3931 5391 7862 10782 11793 23586 35379 70758 2354669 4709338 7064007 14128014 21192021 42384042