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829228113 = 32767196453
BaseRepresentation
bin110001011011010…
…000010001010001
32010210100011010100
4301123100101101
53144240244423
6214141123013
726356215450
oct6133202121
92123304110
10829228113
1139609439a
121b1859469
13102a4772c
147c1b6b97
154cbec343
hex316d0451

829228113 has 24 divisors (see below), whose sum is σ = 1389322688. Its totient is φ = 466769952.

The previous prime is 829228111. The next prime is 829228121. The reversal of 829228113 is 311822928.

It is not a de Polignac number, because 829228113 - 21 = 829228111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829228111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94006 + ... + 102447.

Almost surely, 2829228113 is an apocalyptic number.

It is an amenable number.

829228113 is a deficient number, since it is larger than the sum of its proper divisors (560094575).

829228113 is a wasteful number, since it uses less digits than its factorization.

829228113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196533 (or 196530 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 829228113 is about 28796.3211712885. The cubic root of 829228113 is about 939.4882203577.

The spelling of 829228113 in words is "eight hundred twenty-nine million, two hundred twenty-eight thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 196453 589359 1375171 1768077 4125513 12376539 13162351 39487053 92136457 118461159 276409371 829228113