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498227041 = 1321721012
BaseRepresentation
bin11101101100100…
…101011101100001
31021201111120000101
4131230211131201
52010021231131
6121234422401
715226600654
oct3554453541
91251446011
10498227041
11236266394
1211aa31a01
137c2b4100
144a25389b
152db17c61
hex1db25761

498227041 has 27 divisors (see below), whose sum is σ = 578832843. Its totient is φ = 428563200.

The previous prime is 498227027. The next prime is 498227053. The reversal of 498227041 is 140722894.

It can be divided in two parts, 4982 and 27041, that added together give a palindrome (32023).

The square root of 498227041 is 22321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 41977441 + 456249600 = 6479^2 + 21360^2 .

It is not a de Polignac number, because 498227041 - 219 = 497702753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (498227141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4932891 + ... + 4932991.

Almost surely, 2498227041 is an apocalyptic number.

498227041 is the 22321-st square number.

498227041 is the 11161-st centered octagonal number.

It is an amenable number.

498227041 is a deficient number, since it is larger than the sum of its proper divisors (80605802).

498227041 is a wasteful number, since it uses less digits than its factorization.

498227041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The cubic root of 498227041 is about 792.7612826205.

The spelling of 498227041 in words is "four hundred ninety-eight million, two hundred twenty-seven thousand, forty-one".

Divisors: 1 13 17 101 169 221 289 1313 1717 2873 3757 10201 17069 22321 29189 48841 132613 173417 290173 379457 1723969 2254421 2948089 4932941 29307473 38325157 498227041