Search a number
-
+
42755805 = 3252573697
BaseRepresentation
bin1010001100011…
…0011011011101
32222110012221100
42203012123131
541421141210
64124223313
71026263331
oct243063335
988405840
1042755805
1122153084
121239ab39
138b1ccc1
14596d7c1
153b485c0
hex28c66dd

42755805 has 24 divisors (see below), whose sum is σ = 74418552. Its totient is φ = 22708224.

The previous prime is 42755777. The next prime is 42755807. The reversal of 42755805 is 50855724.

It is a happy number.

42755805 is a `hidden beast` number, since 4 + 2 + 75 + 580 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6827769 + 35928036 = 2613^2 + 5994^2 .

It is not a de Polignac number, because 42755805 - 210 = 42754781 is a prime.

It is a super-2 number, since 2×427558052 = 3656117722396050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42755805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42755807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9717 + ... + 13413.

It is an arithmetic number, because the mean of its divisors is an integer number (3100773).

Almost surely, 242755805 is an apocalyptic number.

42755805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42755805 is a deficient number, since it is larger than the sum of its proper divisors (31662747).

42755805 is a wasteful number, since it uses less digits than its factorization.

42755805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 42755805 is about 6538.7923196872. The cubic root of 42755805 is about 349.6753588374.

The spelling of 42755805 in words is "forty-two million, seven hundred fifty-five thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 257 771 1285 2313 3697 3855 11091 11565 18485 33273 55455 166365 950129 2850387 4750645 8551161 14251935 42755805