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42112305 = 345103981
BaseRepresentation
bin1010000010100…
…1010100110001
32221020112020000
42200221110301
541240043210
64102340213
71020643254
oct240512461
987215200
1042112305
1121853664
121212a669
138956131
14584309b
153a6cac0
hex2829531

42112305 has 20 divisors (see below), whose sum is σ = 75490932. Its totient is φ = 22459680.

The previous prime is 42112297. The next prime is 42112331. The reversal of 42112305 is 50321124.

It can be written as a sum of positive squares in 2 ways, for example, as 15610401 + 26501904 = 3951^2 + 5148^2 .

It is not a de Polignac number, because 42112305 - 23 = 42112297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51586 + ... + 52395.

Almost surely, 242112305 is an apocalyptic number.

42112305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42112305 is a deficient number, since it is larger than the sum of its proper divisors (33378627).

42112305 is a wasteful number, since it uses less digits than its factorization.

42112305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103998 (or 103989 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42112305 is about 6489.3994329214. The cubic root of 42112305 is about 347.9122103166.

Adding to 42112305 its reverse (50321124), we get a palindrome (92433429).

The spelling of 42112305 in words is "forty-two million, one hundred twelve thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 103981 311943 519905 935829 1559715 2807487 4679145 8422461 14037435 42112305