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57806845 = 51011131013
BaseRepresentation
bin1101110010000…
…0111111111101
311000202220002021
43130200333331
5104244304340
65423000141
71301231035
oct334407775
9130686067
1057806845
112a6a3158
1217439051
13bc8c945
14796a8c5
15511ce4a
hex3720ffd

57806845 has 16 divisors (see below), whose sum is σ = 70744752. Its totient is φ = 45337600.

The previous prime is 57806813. The next prime is 57806869. The reversal of 57806845 is 54860875.

It can be written as a sum of positive squares in 8 ways, for example, as 12068676 + 45738169 = 3474^2 + 6763^2 .

It is not a de Polignac number, because 57806845 - 25 = 57806813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56559 + ... + 57571.

It is an arithmetic number, because the mean of its divisors is an integer number (4421547).

Almost surely, 257806845 is an apocalyptic number.

It is an amenable number.

57806845 is a deficient number, since it is larger than the sum of its proper divisors (12937907).

57806845 is a wasteful number, since it uses less digits than its factorization.

57806845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232.

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 57806845 is about 7603.0812832693. The cubic root of 57806845 is about 386.6574854968.

It can be divided in two parts, 5780 and 6845, that multiplied together give a square (39564100 = 62902).

The spelling of 57806845 in words is "fifty-seven million, eight hundred six thousand, eight hundred forty-five".

Divisors: 1 5 101 113 505 565 1013 5065 11413 57065 102313 114469 511565 572345 11561369 57806845