Search a number
-
+
57059977 = 132337633
BaseRepresentation
bin1101100110101…
…0101010001001
310222100221120111
43121222222021
5104101404402
65354554321
71262000422
oct331525211
9128327514
1057059977
112a233007
12171389a1
13ba8aa00
147814649
1550219d7
hex366aa89

57059977 has 6 divisors (see below), whose sum is σ = 61787022. Its totient is φ = 52670592.

The previous prime is 57059971. The next prime is 57059993. The reversal of 57059977 is 77995075.

57059977 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 3 ways, for example, as 6635776 + 50424201 = 2576^2 + 7101^2 .

It is not a de Polignac number, because 57059977 - 211 = 57057929 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 57059977.

It is not an unprimeable number, because it can be changed into a prime (57059971) 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 5 ways as a sum of consecutive naturals, for example, 168648 + ... + 168985.

It is an arithmetic number, because the mean of its divisors is an integer number (10297837).

Almost surely, 257059977 is an apocalyptic number.

It is an amenable number.

57059977 is a deficient number, since it is larger than the sum of its proper divisors (4727045).

57059977 is a wasteful number, since it uses less digits than its factorization.

57059977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337659 (or 337646 counting only the distinct ones).

The product of its (nonzero) digits is 694575, while the sum is 49.

The square root of 57059977 is about 7553.8054647972. The cubic root of 57059977 is about 384.9850491749.

The spelling of 57059977 in words is "fifty-seven million, fifty-nine thousand, nine hundred seventy-seven".

Divisors: 1 13 169 337633 4389229 57059977