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42742517 = 61897873
BaseRepresentation
bin1010001100001…
…1001011110101
32222102112201012
42203003023311
541420230032
64124042005
71026206516
oct243031365
988375635
1042742517
11221440a4
1212393305
138b16c3c
145968a0d
153b446b2
hex28c32f5

42742517 has 8 divisors (see below), whose sum is σ = 43936920. Its totient is φ = 41564160.

The previous prime is 42742507. The next prime is 42742523. The reversal of 42742517 is 71524724.

42742517 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 4 ways, for example, as 5885476 + 36857041 = 2426^2 + 6071^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42742517 - 216 = 42676981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42742507) 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, 1493 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (5492115).

Almost surely, 242742517 is an apocalyptic number.

It is an amenable number.

42742517 is a deficient number, since it is larger than the sum of its proper divisors (1194403).

42742517 is an equidigital number, since it uses as much as digits as its factorization.

42742517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023.

The product of its digits is 15680, while the sum is 32.

The square root of 42742517 is about 6537.7761509553. The cubic root of 42742517 is about 349.6391300913.

The spelling of 42742517 in words is "forty-two million, seven hundred forty-two thousand, five hundred seventeen".

Divisors: 1 61 89 5429 7873 480253 700697 42742517