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57511105 = 561193977
BaseRepresentation
bin1101101101100…
…0110011000001
311000012212101221
43123120303001
5104210323410
65412355041
71265556601
oct333306301
9130185357
1057511105
112a510a43
1217315a81
13bbb8152
1478d0c01
1550b04da
hex36d8cc1

57511105 has 16 divisors (see below), whose sum is σ = 70580304. Its totient is φ = 44974080.

The previous prime is 57511099. The next prime is 57511123. The reversal of 57511105 is 50111575.

57511105 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 3356224 + 54154881 = 1832^2 + 7359^2 .

It is not a de Polignac number, because 57511105 - 25 = 57511073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57511105.

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 15 ways as a sum of consecutive naturals, for example, 58377 + ... + 59353.

It is an arithmetic number, because the mean of its divisors is an integer number (4411269).

Almost surely, 257511105 is an apocalyptic number.

It is an amenable number.

57511105 is a deficient number, since it is larger than the sum of its proper divisors (13069199).

57511105 is a wasteful number, since it uses less digits than its factorization.

57511105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 875, while the sum is 25.

The square root of 57511105 is about 7583.6076507161. The cubic root of 57511105 is about 385.9969775238.

The spelling of 57511105 in words is "fifty-seven million, five hundred eleven thousand, one hundred five".

Divisors: 1 5 61 193 305 965 977 4885 11773 58865 59597 188561 297985 942805 11502221 57511105