Search a number
-
+
42459820 = 22513163307
BaseRepresentation
bin1010000111111…
…0001010101100
32221220011220221
42201332022230
541332203240
64114021124
71023621364
oct241761254
987804827
1042459820
1121a70767
12122777a4
138a48370
1458d39a4
153adaa4a
hex287e2ac

42459820 has 24 divisors (see below), whose sum is σ = 96025104. Its totient is φ = 15677376.

The previous prime is 42459811. The next prime is 42459827. The reversal of 42459820 is 2895424.

42459820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42459827) 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 7 ways as a sum of consecutive naturals, for example, 81394 + ... + 81913.

It is an arithmetic number, because the mean of its divisors is an integer number (4001046).

Almost surely, 242459820 is an apocalyptic number.

It is an amenable number.

42459820 is an abundant number, since it is smaller than the sum of its proper divisors (53565284).

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

42459820 is a wasteful number, since it uses less digits than its factorization.

42459820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163329 (or 163327 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 42459820 is about 6516.1200111723. The cubic root of 42459820 is about 348.8665921414.

The spelling of 42459820 in words is "forty-two million, four hundred fifty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 163307 326614 653228 816535 1633070 2122991 3266140 4245982 8491964 10614955 21229910 42459820