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836381 = 72132101
BaseRepresentation
bin11001100001100011101
31120111022002
43030030131
5203231011
625532045
710052300
oct3141435
91514262
10836381
11521427
12344025
13233900
1417ab37
15117c3b
hexcc31d

836381 has 18 divisors (see below), whose sum is σ = 1063962. Its totient is φ = 655200.

The previous prime is 836377. The next prime is 836387. The reversal of 836381 is 183638.

836381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 765625 = 266^2 + 875^2 .

It is not a de Polignac number, because 836381 - 22 = 836377 is a prime.

It is a super-2 number, since 2×8363812 = 1399066354322, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 836381.

It is not an unprimeable number, because it can be changed into a prime (836387) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8231 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (59109).

2836381 is an apocalyptic number.

It is an amenable number.

836381 is a deficient number, since it is larger than the sum of its proper divisors (227581).

836381 is a wasteful number, since it uses less digits than its factorization.

836381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 836381 is about 914.5386815220. The cubic root of 836381 is about 94.2181818875.

The spelling of 836381 in words is "eight hundred thirty-six thousand, three hundred eighty-one".

Divisors: 1 7 13 49 91 101 169 637 707 1183 1313 4949 8281 9191 17069 64337 119483 836381