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42857064 = 23321035779
BaseRepresentation
bin1010001101111…
…1001001101000
32222122100211200
42203133021220
541432411224
64130324200
71030164465
oct243371150
988570750
1042857064
1122212168
1212429660
138b57113
14599866c
153b685c9
hex28df268

42857064 has 48 divisors (see below), whose sum is σ = 117218400. Its totient is φ = 14144544.

The previous prime is 42857053. The next prime is 42857077. The reversal of 42857064 is 46075824.

42857064 is a `hidden beast` number, since 4 + 28 + 570 + 64 = 666.

42857064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 4527 + ... + 10305.

It is an arithmetic number, because the mean of its divisors is an integer number (2442050).

Almost surely, 242857064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42857064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58609200).

42857064 is an abundant number, since it is smaller than the sum of its proper divisors (74361336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42857064 is a wasteful number, since it uses less digits than its factorization.

42857064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42857064 is about 6546.5306842632. The cubic root of 42857064 is about 349.9511877506.

The spelling of 42857064 in words is "forty-two million, eight hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 5779 7416 11558 17337 23116 34674 46232 52011 69348 104022 138696 208044 416088 595237 1190474 1785711 2380948 3571422 4761896 5357133 7142844 10714266 14285688 21428532 42857064