Search a number
-
+
428481 = 3247609
BaseRepresentation
bin1101000100111000001
3210202202200
41220213001
5102202411
613103413
73433134
oct1504701
9722680
10428481
11272a19
12187b69
13120051
14b221b
1586e56
hex689c1

428481 has 6 divisors (see below), whose sum is σ = 618930. Its totient is φ = 285648.

The previous prime is 428473. The next prime is 428489. The reversal of 428481 is 184824.

It is an interprime number because it is at equal distance from previous prime (428473) and next prime (428489).

It can be written as a sum of positive squares in only one way, i.e., 370881 + 57600 = 609^2 + 240^2 .

It is not a de Polignac number, because 428481 - 23 = 428473 is a prime.

It is a super-2 number, since 2×4284812 = 367191934722, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428481.

It is not an unprimeable number, because it can be changed into a prime (428489) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23796 + ... + 23813.

It is an arithmetic number, because the mean of its divisors is an integer number (103155).

2428481 is an apocalyptic number.

It is an amenable number.

428481 is a deficient number, since it is larger than the sum of its proper divisors (190449).

428481 is a wasteful number, since it uses less digits than its factorization.

428481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47615 (or 47612 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 428481 is about 654.5846011021. The cubic root of 428481 is about 75.3894409762.

It can be divided in two parts, 42848 and 1, that added together give a square (42849 = 2072).

The spelling of 428481 in words is "four hundred twenty-eight thousand, four hundred eighty-one".

Divisors: 1 3 9 47609 142827 428481