Search a number
-
+
388485 = 3258997
BaseRepresentation
bin1011110110110000101
3201201220100
41132312011
544412420
612154313
73205416
oct1366605
9651810
10388485
11245969
12168999
13107a96
14a180d
157a190
hex5ed85

388485 has 24 divisors (see below), whose sum is σ = 687960. Its totient is φ = 202752.

The previous prime is 388483. The next prime is 388489. The reversal of 388485 is 584883.

388485 is digitally balanced in base 7, 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 6561 + 381924 = 81^2 + 618^2 .

It is not a de Polignac number, because 388485 - 21 = 388483 is a prime.

388485 is strictly pandigital in base 7.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3957 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2388485 is an apocalyptic number.

It is an amenable number.

388485 is a deficient number, since it is larger than the sum of its proper divisors (299475).

388485 is a wasteful number, since it uses less digits than its factorization.

388485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 388485 is about 623.2856488000. The cubic root of 388485 is about 72.9667077815.

Adding to 388485 its sum of digits (36), we get a triangular number (388521 = T881).

It can be divided in two parts, 3884 and 85, that added together give a square (3969 = 632).

The spelling of 388485 in words is "three hundred eighty-eight thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 45 89 97 267 291 445 485 801 873 1335 1455 4005 4365 8633 25899 43165 77697 129495 388485