[go: up one dir, main page]

Search a number
-
+
42531560 = 2351676367
BaseRepresentation
bin1010001000111…
…1101011101000
32222000211022222
42202033223220
541342002220
64115333212
71024340501
oct242175350
988024288
1042531560
112200a655
12122b1208
138a71c06
145911ba8
153b01e25
hex288fae8

42531560 has 32 divisors (see below), whose sum is σ = 96284160. Its totient is φ = 16908096.

The previous prime is 42531547. The next prime is 42531563. The reversal of 42531560 is 6513524.

42531560 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 (42531563) 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, 3497 + ... + 9863.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880).

Almost surely, 242531560 is an apocalyptic number.

42531560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42531560 is an abundant number, since it is smaller than the sum of its proper divisors (53752600).

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

42531560 is a wasteful number, since it uses less digits than its factorization.

42531560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 42531560 is about 6521.6224975078. The cubic root of 42531560 is about 349.0629629453.

The spelling of 42531560 in words is "forty-two million, five hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 3340 6367 6680 12734 25468 31835 50936 63670 127340 254680 1063289 2126578 4253156 5316445 8506312 10632890 21265780 42531560