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57115305 = 32513891097
BaseRepresentation
bin1101100111100…
…0001010101001
310222110202110200
43121320022221
5104110142210
65400102413
71262320632
oct331701251
9128422420
1057115305
112a270635
1217164a09
13baa9c50
14782a889
1550330c0
hex36782a9

57115305 has 48 divisors (see below), whose sum is σ = 107911440. Its totient is φ = 27777024.

The previous prime is 57115277. The next prime is 57115319. The reversal of 57115305 is 50351175.

57115305 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 8 ways, for example, as 15280281 + 41835024 = 3909^2 + 6468^2 .

It is not a de Polignac number, because 57115305 - 211 = 57113257 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 51517 + ... + 52613.

It is an arithmetic number, because the mean of its divisors is an integer number (2248155).

Almost surely, 257115305 is an apocalyptic number.

It is an amenable number.

57115305 is a deficient number, since it is larger than the sum of its proper divisors (50796135).

57115305 is a wasteful number, since it uses less digits than its factorization.

57115305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 57115305 is about 7557.4668375058. The cubic root of 57115305 is about 385.1094420972.

It can be divided in two parts, 571 and 15305, that added together give a square (15876 = 1262).

The spelling of 57115305 in words is "fifty-seven million, one hundred fifteen thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 89 117 195 267 445 585 801 1097 1157 1335 3291 3471 4005 5485 5785 9873 10413 14261 16455 17355 42783 49365 52065 71305 97633 128349 213915 292899 488165 641745 878697 1269229 1464495 3807687 4393485 6346145 11423061 19038435 57115305