Search a number
-
+
42725705 = 511270621
BaseRepresentation
bin1010001011111…
…1000101001001
32222101200122112
42202333011021
541414210310
64123432105
71026106511
oct242770511
988350575
1042725705
1122132500
1212385635
138b0c3a9
145962841
153b3e705
hex28bf149

42725705 has 12 divisors (see below), whose sum is σ = 56356356. Its totient is φ = 31072800.

The previous prime is 42725701. The next prime is 42725707. The reversal of 42725705 is 50752724.

42725705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26956864 + 15768841 = 5192^2 + 3971^2 .

It is not a de Polignac number, because 42725705 - 22 = 42725701 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42725701) 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 11 ways as a sum of consecutive naturals, for example, 34706 + ... + 35915.

It is an arithmetic number, because the mean of its divisors is an integer number (4696363).

Almost surely, 242725705 is an apocalyptic number.

It is an amenable number.

42725705 is a deficient number, since it is larger than the sum of its proper divisors (13630651).

42725705 is a wasteful number, since it uses less digits than its factorization.

42725705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70648 (or 70637 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 42725705 is about 6536.4902661903. The cubic root of 42725705 is about 349.5932826594.

The spelling of 42725705 in words is "forty-two million, seven hundred twenty-five thousand, seven hundred five".

Divisors: 1 5 11 55 121 605 70621 353105 776831 3884155 8545141 42725705