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828804229 = 117110310303
BaseRepresentation
bin110001011001101…
…000110010000101
32010202112121122221
4301121220302011
53144133213404
6214124052341
726352501601
oct6131506205
92122477587
10828804229
11395924980
121b16940b1
13102929806
147c106501
154cb66954
hex31668c85

828804229 has 16 divisors (see below), whose sum is σ = 925876224. Its totient is φ = 735562800.

The previous prime is 828804227. The next prime is 828804233. The reversal of 828804229 is 922408828.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 828804229 - 21 = 828804227 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828804227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75292 + ... + 85594.

It is an arithmetic number, because the mean of its divisors is an integer number (57867264).

Almost surely, 2828804229 is an apocalyptic number.

It is an amenable number.

828804229 is a deficient number, since it is larger than the sum of its proper divisors (97071995).

828804229 is a wasteful number, since it uses less digits than its factorization.

828804229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488.

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 828804229 is about 28788.9601931018. The cubic root of 828804229 is about 939.3281108558.

The spelling of 828804229 in words is "eight hundred twenty-eight million, eight hundred four thousand, two hundred twenty-nine".

Divisors: 1 11 71 103 781 1133 7313 10303 80443 113333 731513 1061209 8046643 11673299 75345839 828804229