Search a number
-
+
42330144 = 253440939
BaseRepresentation
bin1010000101111…
…0100000100000
32221122121001010
42201132200200
541314031034
64111140520
71022541333
oct241364040
987577033
1042330144
112199229a
1212214740
138a0132c
14589c61a
153ab23e9
hex285e820

42330144 has 24 divisors (see below), whose sum is σ = 111116880. Its totient is φ = 14110016.

The previous prime is 42330107. The next prime is 42330149. The reversal of 42330144 is 44103324.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42330144.

It is not an unprimeable number, because it can be changed into a prime (42330149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220374 + ... + 220565.

It is an arithmetic number, because the mean of its divisors is an integer number (4629870).

Almost surely, 242330144 is an apocalyptic number.

It is an amenable number.

42330144 is an abundant number, since it is smaller than the sum of its proper divisors (68786736).

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

42330144 is a wasteful number, since it uses less digits than its factorization.

42330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440952 (or 440944 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42330144 is about 6506.1620022868. The cubic root of 42330144 is about 348.5110736162.

Adding to 42330144 its reverse (44103324), we get a palindrome (86433468).

The spelling of 42330144 in words is "forty-two million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 440939 881878 1322817 1763756 2645634 3527512 5291268 7055024 10582536 14110048 21165072 42330144