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57059405 = 513877837
BaseRepresentation
bin1101100110101…
…0100001001101
310222100220210022
43121222201031
5104101400110
65354551525
71261665644
oct331524115
9128326708
1057059405
112a232637
12171385a5
13ba8a680
14781435b
155021755
hex366a84d

57059405 has 8 divisors (see below), whose sum is σ = 73738392. Its totient is φ = 42136128.

The previous prime is 57059381. The next prime is 57059407. The reversal of 57059405 is 50495075.

57059405 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 4 ways, for example, as 3798601 + 53260804 = 1949^2 + 7298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57059405 - 26 = 57059341 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57059407) 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 7 ways as a sum of consecutive naturals, for example, 438854 + ... + 438983.

It is an arithmetic number, because the mean of its divisors is an integer number (9217299).

Almost surely, 257059405 is an apocalyptic number.

It is an amenable number.

57059405 is a deficient number, since it is larger than the sum of its proper divisors (16678987).

57059405 is a wasteful number, since it uses less digits than its factorization.

57059405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877855.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 57059405 is about 7553.7676029912. The cubic root of 57059405 is about 384.9837627379.

The spelling of 57059405 in words is "fifty-seven million, fifty-nine thousand, four hundred five".

Divisors: 1 5 13 65 877837 4389185 11411881 57059405