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42756345 = 325953997
BaseRepresentation
bin1010001100011…
…0100011111001
32222110020200100
42203012203321
541421200340
64124230013
71026265032
oct243064371
988406610
1042756345
1122153525
121239b309
138b20318
14596da89
153b48830
hex28c68f9

42756345 has 24 divisors (see below), whose sum is σ = 74263176. Its totient is φ = 22756608.

The previous prime is 42756341. The next prime is 42756391. The reversal of 42756345 is 54365724.

42756345 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 9162729 + 33593616 = 3027^2 + 5796^2 .

It is not a de Polignac number, because 42756345 - 22 = 42756341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42756341) 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 23 ways as a sum of consecutive naturals, for example, 42387 + ... + 43383.

It is an arithmetic number, because the mean of its divisors is an integer number (3094299).

Almost surely, 242756345 is an apocalyptic number.

42756345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42756345 is a deficient number, since it is larger than the sum of its proper divisors (31506831).

42756345 is a wasteful number, since it uses less digits than its factorization.

42756345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1958 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 42756345 is about 6538.8336115855. The cubic root of 42756345 is about 349.6768309486.

The spelling of 42756345 in words is "forty-two million, seven hundred fifty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 953 997 2859 2991 4765 4985 8577 8973 14295 14955 42885 44865 950141 2850423 4750705 8551269 14252115 42756345