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42600113 = 1715832
BaseRepresentation
bin1010001010000…
…0011010110001
32222011022100222
42202200122301
541401200423
64121022425
71025044403
oct242403261
988138328
1042600113
1122057106
1212324a15
138a9718a
14592cb73
153b173c8
hex28a06b1

42600113 has 6 divisors (see below), whose sum is σ = 45134514. Its totient is φ = 40068896.

The previous prime is 42600091. The next prime is 42600127. The reversal of 42600113 is 31100624.

It can be written as a sum of positive squares in only one way, i.e., 40094224 + 2505889 = 6332^2 + 1583^2 .

It is not a de Polignac number, because 42600113 - 26 = 42600049 is a prime.

It is a super-2 number, since 2×426001132 = 3629539255225538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42600091 and 42600100.

It is not an unprimeable number, because it can be changed into a prime (42600133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26120 + ... + 27702.

It is an arithmetic number, because the mean of its divisors is an integer number (7522419).

Almost surely, 242600113 is an apocalyptic number.

It is an amenable number.

42600113 is a deficient number, since it is larger than the sum of its proper divisors (2534401).

42600113 is an frugal number, since it uses more digits than its factorization.

42600113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 42600113 is about 6526.8762053528. The cubic root of 42600113 is about 349.2504038970.

Multiplying 42600113 by its sum of digits (17), we get a square (724201921 = 269112).

42600113 divided by its sum of digits (17) gives a square (2505889 = 15832).

Adding to 42600113 its reverse (31100624), we get a palindrome (73700737).

The spelling of 42600113 in words is "forty-two million, six hundred thousand, one hundred thirteen".

Divisors: 1 17 1583 26911 2505889 42600113