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829428895 = 51761347461
BaseRepresentation
bin110001011100000…
…001010010011111
32010210201100112201
4301130001102133
53144313211040
6214145312331
726361013021
oct6134012237
92123640481
10829428895
11396211229
121b19356a7
13102ab7c39
147c22a011
154cc3ba9a
hex3170149f

829428895 has 32 divisors (see below), whose sum is σ = 1076556096. Its totient is φ = 611174400.

The previous prime is 829428871. The next prime is 829428911. The reversal of 829428895 is 598824928.

It is not a de Polignac number, because 829428895 - 229 = 292557983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798965 + ... + 1799425.

It is an arithmetic number, because the mean of its divisors is an integer number (33642378).

Almost surely, 2829428895 is an apocalyptic number.

829428895 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

829428895 is a deficient number, since it is larger than the sum of its proper divisors (247127201).

829428895 is a wasteful number, since it uses less digits than its factorization.

829428895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891.

The product of its digits is 3317760, while the sum is 55.

The square root of 829428895 is about 28799.8072042158. The cubic root of 829428895 is about 939.5640407093.

The spelling of 829428895 in words is "eight hundred twenty-nine million, four hundred twenty-eight thousand, eight hundred ninety-five".

Divisors: 1 5 17 61 85 305 347 461 1037 1735 2305 5185 5899 7837 21167 28121 29495 39185 105835 140605 159967 359839 478057 799835 1799195 2390285 2719439 9757987 13597195 48789935 165885779 829428895