Search a number
-
+
42381009 = 3311142697
BaseRepresentation
bin1010000110101…
…0111011010001
32221202011211000
42201222323101
541322143014
64112212213
71023142536
oct241527321
987664730
1042381009
1121a17530
121223a069
138a1b528
1458b2d8d
153ac2509
hex286aed1

42381009 has 16 divisors (see below), whose sum is σ = 68495040. Its totient is φ = 25685280.

The previous prime is 42380993. The next prime is 42381011. The reversal of 42381009 is 90018324.

42381009 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 42381009 - 24 = 42380993 is a prime.

It is a super-2 number, since 2×423810092 = 3592299847716162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42381029) 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, 71052 + ... + 71645.

It is an arithmetic number, because the mean of its divisors is an integer number (4280940).

Almost surely, 242381009 is an apocalyptic number.

It is an amenable number.

42381009 is a deficient number, since it is larger than the sum of its proper divisors (26114031).

42381009 is a wasteful number, since it uses less digits than its factorization.

42381009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142717 (or 142711 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42381009 is about 6510.0698152938. The cubic root of 42381009 is about 348.6506110585.

The spelling of 42381009 in words is "forty-two million, three hundred eighty-one thousand, nine".

Divisors: 1 3 9 11 27 33 99 297 142697 428091 1284273 1569667 3852819 4709001 14127003 42381009