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829413 = 331317139
BaseRepresentation
bin11001010011111100101
31120010202000
43022133211
5203020123
625435513
710023054
oct3123745
91503660
10829413
11517172
1233bb99
132306a0
1417839b
15115b43
hexca7e5

829413 has 32 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 476928.

The previous prime is 829399. The next prime is 829453. The reversal of 829413 is 314928.

It can be divided in two parts, 82941 and 3, that added together give a square (82944 = 2882).

It is not a de Polignac number, because 829413 - 26 = 829349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5898 + ... + 6036.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2829413 is an apocalyptic number.

It is an amenable number.

829413 is a deficient number, since it is larger than the sum of its proper divisors (581787).

829413 is a wasteful number, since it uses less digits than its factorization.

829413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 829413 is about 910.7211428313. The cubic root of 829413 is about 93.9558038802.

The spelling of 829413 in words is "eight hundred twenty-nine thousand, four hundred thirteen".

Divisors: 1 3 9 13 17 27 39 51 117 139 153 221 351 417 459 663 1251 1807 1989 2363 3753 5421 5967 7089 16263 21267 30719 48789 63801 92157 276471 829413