Search a number
-
+
57427557 = 3111991591
BaseRepresentation
bin1101101100010…
…0011001100101
311000001121210120
43123010121211
5104200140212
65410512153
71265061165
oct333043145
9130047716
1057427557
112a4641a0
1217295659
13bb89105
1478ac5a5
15509588c
hex36c4665

57427557 has 16 divisors (see below), whose sum is σ = 87928320. Its totient is φ = 32972400.

The previous prime is 57427543. The next prime is 57427571. The reversal of 57427557 is 75572475.

57427557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57427543) and next prime (57427571).

It is not a de Polignac number, because 57427557 - 24 = 57427541 is a prime.

It is a super-3 number, since 3×574275573 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57427537) 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 15 ways as a sum of consecutive naturals, for example, 45169 + ... + 46422.

It is an arithmetic number, because the mean of its divisors is an integer number (5495520).

Almost surely, 257427557 is an apocalyptic number.

57427557 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

57427557 is a deficient number, since it is larger than the sum of its proper divisors (30500763).

57427557 is a wasteful number, since it uses less digits than its factorization.

57427557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91624.

The product of its digits is 343000, while the sum is 42.

The square root of 57427557 is about 7578.0971886088. The cubic root of 57427557 is about 385.8099707155.

The spelling of 57427557 in words is "fifty-seven million, four hundred twenty-seven thousand, five hundred fifty-seven".

Divisors: 1 3 11 19 33 57 209 627 91591 274773 1007501 1740229 3022503 5220687 19142519 57427557