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829225059 = 313104920269
BaseRepresentation
bin110001011011001…
…111100001100011
32010210022222221020
4301123033201203
53144240200214
6214141100523
726356203525
oct6133174143
92123288836
10829225059
11396092073
121b1857743
13102a46220
147c1b5a15
154cbeb4a9
hex316cf863

829225059 has 16 divisors (see below), whose sum is σ = 1191876000. Its totient is φ = 509780736.

The previous prime is 829225057. The next prime is 829225063. The reversal of 829225059 is 950522928.

It is not a de Polignac number, because 829225059 - 21 = 829225057 is a prime.

It is a super-2 number, since 2×8292250592 = 1375228396947106962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829225059.

It is not an unprimeable number, because it can be changed into a prime (829225057) 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, 30777 + ... + 51045.

It is an arithmetic number, because the mean of its divisors is an integer number (74492250).

Almost surely, 2829225059 is an apocalyptic number.

829225059 is a deficient number, since it is larger than the sum of its proper divisors (362650941).

829225059 is a wasteful number, since it uses less digits than its factorization.

829225059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21334.

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 829225059 is about 28796.2681436328. The cubic root of 829225059 is about 939.4870669957.

The spelling of 829225059 in words is "eight hundred twenty-nine million, two hundred twenty-five thousand, fifty-nine".

Divisors: 1 3 13 39 1049 3147 13637 20269 40911 60807 263497 790491 21262181 63786543 276408353 829225059