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57808053 = 336135099
BaseRepresentation
bin1101110010000…
…1010010110101
311000202221202000
43130201102311
5104244324203
65423005513
71301234412
oct334412265
9130687660
1057808053
112a6a4056
1217439899
13bc90364
14796b109
15511d4a3
hex37214b5

57808053 has 16 divisors (see below), whose sum is σ = 87048000. Its totient is φ = 37905840.

The previous prime is 57808033. The next prime is 57808063. The reversal of 57808053 is 35080875.

It is a happy number.

57808053 is a `hidden beast` number, since 578 + 0 + 80 + 5 + 3 = 666.

57808053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57808053 - 26 = 57807989 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57807999 and 57808017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57808033) 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 15 ways as a sum of consecutive naturals, for example, 15903 + ... + 19196.

It is an arithmetic number, because the mean of its divisors is an integer number (5440500).

Almost surely, 257808053 is an apocalyptic number.

It is an amenable number.

57808053 is a deficient number, since it is larger than the sum of its proper divisors (29239947).

57808053 is a wasteful number, since it uses less digits than its factorization.

57808053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35169 (or 35163 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57808053 is about 7603.1607243304. The cubic root of 57808053 is about 386.6601788283.

The spelling of 57808053 in words is "fifty-seven million, eight hundred eight thousand, fifty-three".

Divisors: 1 3 9 27 61 183 549 1647 35099 105297 315891 947673 2141039 6423117 19269351 57808053