Search a number
-
+
42823344 = 243892153
BaseRepresentation
bin1010001101011…
…0111010110000
32222120122120210
42203112322300
541430321334
64125504120
71026664254
oct243267260
988518523
1042823344
11221998a3
1212412040
138b44975
14598a264
153b5d5e9
hex28d6eb0

42823344 has 20 divisors (see below), whose sum is σ = 110627096. Its totient is φ = 14274432.

The previous prime is 42823337. The next prime is 42823349. The reversal of 42823344 is 44332824.

42823344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42823349) 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 3 ways as a sum of consecutive naturals, for example, 446029 + ... + 446124.

Almost surely, 242823344 is an apocalyptic number.

It is an amenable number.

42823344 is an abundant number, since it is smaller than the sum of its proper divisors (67803752).

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

42823344 is a wasteful number, since it uses less digits than its factorization.

42823344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892164 (or 892158 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 42823344 is about 6543.9547675698. The cubic root of 42823344 is about 349.8593829686.

It can be divided in two parts, 4282 and 3344, that added together give a triangular number (7626 = T123).

The spelling of 42823344 in words is "forty-two million, eight hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 892153 1784306 2676459 3568612 5352918 7137224 10705836 14274448 21411672 42823344