Search a number
-
+
57057671 = 1124779127
BaseRepresentation
bin1101100110101…
…0000110000111
310222100211102002
43121222012013
5104101321141
65354535515
71261660616
oct331520607
9128324362
1057057671
112a231300
121713759b
13ba89948
14781387d
155020e9b
hex366a187

57057671 has 24 divisors (see below), whose sum is σ = 65372160. Its totient is φ = 49729680.

The previous prime is 57057667. The next prime is 57057719. The reversal of 57057671 is 17675075.

57057671 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 57057671 - 22 = 57057667 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57057601) 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 23 ways as a sum of consecutive naturals, for example, 449210 + ... + 449336.

It is an arithmetic number, because the mean of its divisors is an integer number (2723840).

Almost surely, 257057671 is an apocalyptic number.

57057671 is a deficient number, since it is larger than the sum of its proper divisors (8314489).

57057671 is a wasteful number, since it uses less digits than its factorization.

57057671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 38.

The square root of 57057671 is about 7553.6528249583. The cubic root of 57057671 is about 384.9798628923.

The spelling of 57057671 in words is "fifty-seven million, fifty-seven thousand, six hundred seventy-one".

Divisors: 1 11 47 79 121 127 517 869 1397 3713 5687 5969 9559 10033 15367 40843 65659 110363 449273 471551 722249 1213993 5187061 57057671