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829145085 = 35192909281
BaseRepresentation
bin110001011010111…
…011111111111101
32010210011221020020
4301122323333331
53144230120320
6214135242353
726355421416
oct6132737775
92123157206
10829145085
11396037a7a
121b18193b9
13102a189c2
147c19480d
154cbd2940
hex316bbffd

829145085 has 16 divisors (see below), whose sum is σ = 1396455360. Its totient is φ = 418936320.

The previous prime is 829145081. The next prime is 829145111. The reversal of 829145085 is 580541928.

It is a happy number.

It is not a de Polignac number, because 829145085 - 22 = 829145081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829145081) 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, 1454356 + ... + 1454925.

It is an arithmetic number, because the mean of its divisors is an integer number (87278460).

Almost surely, 2829145085 is an apocalyptic number.

It is an amenable number.

829145085 is a deficient number, since it is larger than the sum of its proper divisors (567310275).

829145085 is a wasteful number, since it uses less digits than its factorization.

829145085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909308.

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 829145085 is about 28794.8794927154. The cubic root of 829145085 is about 939.4568633120.

The spelling of 829145085 in words is "eight hundred twenty-nine million, one hundred forty-five thousand, eighty-five".

Divisors: 1 3 5 15 19 57 95 285 2909281 8727843 14546405 43639215 55276339 165829017 276381695 829145085