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818643241 = 13376127901
BaseRepresentation
bin110000110010111…
…000000100101001
32010001102101102001
4300302320010221
53134033040431
6213122211001
726200231663
oct6062700451
92101371361
10818643241
11390114869
121aa1b3a61
131007ac8b0
147aa1d533
154bd0ae61
hex30cb8129

818643241 has 16 divisors (see below), whose sum is σ = 920319568. Its totient is φ = 723168000.

The previous prime is 818643239. The next prime is 818643263. The reversal of 818643241 is 142346818.

It can be written as a sum of positive squares in 8 ways, for example, as 912025 + 817731216 = 955^2 + 28596^2 .

It is a cyclic number.

It is not a de Polignac number, because 818643241 - 21 = 818643239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 818643241.

It is not an unprimeable number, because it can be changed into a prime (818643541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15391 + ... + 43291.

It is an arithmetic number, because the mean of its divisors is an integer number (57519973).

Almost surely, 2818643241 is an apocalyptic number.

It is an amenable number.

818643241 is a deficient number, since it is larger than the sum of its proper divisors (101676327).

818643241 is a wasteful number, since it uses less digits than its factorization.

818643241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28012.

The product of its digits is 36864, while the sum is 37.

The square root of 818643241 is about 28611.9422794049. The cubic root of 818643241 is about 935.4736525117.

The spelling of 818643241 in words is "eight hundred eighteen million, six hundred forty-three thousand, two hundred forty-one".

Divisors: 1 13 37 61 481 793 2257 27901 29341 362713 1032337 1701961 13420381 22125493 62972557 818643241