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18358241 = 112173877
BaseRepresentation
bin100011000000…
…1111111100001
31021112200202212
41012001333201
514144430431
61453251505
7312020366
oct106017741
937480685
1018358241
11a3a9900
126193b95
133a5a085
14261c46d
15192972b
hex1181fe1

18358241 has 12 divisors (see below), whose sum is σ = 20318676. Its totient is φ = 16573920.

The previous prime is 18358229. The next prime is 18358261. The reversal of 18358241 is 14285381.

It can be written as a sum of positive squares in 2 ways, for example, as 16120225 + 2238016 = 4015^2 + 1496^2 .

It is not a de Polignac number, because 18358241 - 26 = 18358177 is a prime.

It is a super-2 number, since 2×183582412 = 674050025228162, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18358198 and 18358207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18358261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20495 + ... + 21371.

It is an arithmetic number, because the mean of its divisors is an integer number (1693223).

Almost surely, 218358241 is an apocalyptic number.

18358241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18358241 is a deficient number, since it is larger than the sum of its proper divisors (1960435).

18358241 is a wasteful number, since it uses less digits than its factorization.

18358241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 18358241 is about 4284.6517944869. The cubic root of 18358241 is about 263.8013551983.

The spelling of 18358241 in words is "eighteen million, three hundred fifty-eight thousand, two hundred forty-one".

Divisors: 1 11 121 173 877 1903 9647 20933 106117 151721 1668931 18358241