Search a number
-
+
42331044 = 2237796379
BaseRepresentation
bin1010000101111…
…0101110100100
32221122122021110
42201132232210
541314043134
64111145020
71022544060
oct241365644
987578243
1042331044
1121992a38
1212215170
138a01872
14589caa0
153ab27e9
hex285eba4

42331044 has 48 divisors (see below), whose sum is σ = 114329600. Its totient is φ = 11939616.

The previous prime is 42331033. The next prime is 42331057. The reversal of 42331044 is 44013324.

42331044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423310442 = 3583834572259872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42331044.

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 15 ways as a sum of consecutive naturals, for example, 3447 + ... + 9825.

Almost surely, 242331044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42331044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57164800).

42331044 is an abundant number, since it is smaller than the sum of its proper divisors (71998556).

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

42331044 is a wasteful number, since it uses less digits than its factorization.

42331044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6470 counting only the distinct ones).

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

The square root of 42331044 is about 6506.2311671197. The cubic root of 42331044 is about 348.5135435483.

Adding to 42331044 its reverse (44013324), we get a palindrome (86344368).

The spelling of 42331044 in words is "forty-two million, three hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6379 6636 12758 19137 25516 38274 44653 76548 89306 133959 178612 267918 503941 535836 1007882 1511823 2015764 3023646 3527587 6047292 7055174 10582761 14110348 21165522 42331044