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42702057 = 3235313441
BaseRepresentation
bin1010001011100…
…1010011101001
32222100111012200
42202321103221
541412431212
64123130413
71025650536
oct242712351
988314180
1042702057
1122116762
1212373a09
138b016b8
145957d8d
153b376dc
hex28b94e9

42702057 has 12 divisors (see below), whose sum is σ = 61860084. Its totient is φ = 28385280.

The previous prime is 42702041. The next prime is 42702071. The reversal of 42702057 is 75020724.

42702057 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 11128896 + 31573161 = 3336^2 + 5619^2 .

It is not a de Polignac number, because 42702057 - 24 = 42702041 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42702057.

It is not an unprimeable number, because it can be changed into a prime (42702757) 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, 3544 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (5155007).

Almost surely, 242702057 is an apocalyptic number.

It is an amenable number.

42702057 is a deficient number, since it is larger than the sum of its proper divisors (19158027).

42702057 is a wasteful number, since it uses less digits than its factorization.

42702057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42702057 is about 6534.6810939785. The cubic root of 42702057 is about 349.5287726440.

The spelling of 42702057 in words is "forty-two million, seven hundred two thousand, fifty-seven".

Divisors: 1 3 9 353 1059 3177 13441 40323 120969 4744673 14234019 42702057