Search a number
-
+
490257 = 32194761
BaseRepresentation
bin1110111101100010001
3220220111200
41313230101
5111142012
614301413
74111215
oct1675421
9826450
10490257
11305379
121b7869
131421c1
14ca945
159a3dc
hex77b11

490257 has 24 divisors (see below), whose sum is σ = 773760. Its totient is φ = 298080.

The previous prime is 490249. The next prime is 490267. The reversal of 490257 is 752094.

It is not a de Polignac number, because 490257 - 23 = 490249 is a prime.

490257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 490257.

It is not an unprimeable number, because it can be changed into a prime (490207) 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, 8007 + ... + 8067.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2490257 is an apocalyptic number.

490257 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

490257 is a deficient number, since it is larger than the sum of its proper divisors (283503).

490257 is a wasteful number, since it uses less digits than its factorization.

490257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 490257 is about 700.1835473645. The cubic root of 490257 is about 78.8511323509.

It can be divided in two parts, 490 and 257, that added together give a palindrome (747).

The spelling of 490257 in words is "four hundred ninety thousand, two hundred fifty-seven".

Divisors: 1 3 9 19 47 57 61 141 171 183 423 549 893 1159 2679 2867 3477 8037 8601 10431 25803 54473 163419 490257