Search a number
-
+
42435018 = 23219127977
BaseRepresentation
bin1010000111100…
…0000111001010
32221211220220100
42201320013022
541330410033
64113310230
71023456153
oct241700712
987756810
1042435018
1121a5406a
1212265376
138a39ca2
1458c892a
153ad3513
hex28781ca

42435018 has 48 divisors (see below), whose sum is σ = 97643520. Its totient is φ = 13281408.

The previous prime is 42435013. The next prime is 42435047. The reversal of 42435018 is 81053424.

It is a junction number, because it is equal to n+sod(n) for n = 42434982 and 42435000.

It is not an unprimeable number, because it can be changed into a prime (42435013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42946 + ... + 43922.

It is an arithmetic number, because the mean of its divisors is an integer number (2034240).

Almost surely, 242435018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42435018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48821760).

42435018 is an abundant number, since it is smaller than the sum of its proper divisors (55208502).

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

42435018 is a wasteful number, since it uses less digits than its factorization.

42435018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42435018 is about 6514.2166067763. The cubic root of 42435018 is about 348.7986512464.

It can be divided in two parts, 4243 and 5018, that added together give a cube (9261 = 213).

The spelling of 42435018 in words is "forty-two million, four hundred thirty-five thousand, eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 977 1143 1954 2286 2413 2931 4826 5862 7239 8793 14478 17586 18563 21717 37126 43434 55689 111378 124079 167067 248158 334134 372237 744474 1116711 2233422 2357501 4715002 7072503 14145006 21217509 42435018