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828056164 = 221343136947
BaseRepresentation
bin110001010110110…
…010001001100100
32010201010121111211
4301112302021210
53143440244124
6214100041204
726343234625
oct6126621144
92121117454
10828056164
11395463941
121b1393204
13102727180
147bd8da4c
154ca69e94
hex315b2264

828056164 has 24 divisors (see below), whose sum is σ = 1564230528. Its totient is φ = 381282720.

The previous prime is 828056147. The next prime is 828056167. The reversal of 828056164 is 461650828.

It is a super-3 number, since 3×8280561643 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (828056167) 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 7 ways as a sum of consecutive naturals, for example, 3939 + ... + 40885.

It is an arithmetic number, because the mean of its divisors is an integer number (65176272).

Almost surely, 2828056164 is an apocalyptic number.

It is an amenable number.

828056164 is a deficient number, since it is larger than the sum of its proper divisors (736174364).

828056164 is a wasteful number, since it uses less digits than its factorization.

828056164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395 (or 37393 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 828056164 is about 28775.9650402901. The cubic root of 828056164 is about 939.0454184445.

The spelling of 828056164 in words is "eight hundred twenty-eight million, fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 431 862 1724 5603 11206 22412 36947 73894 147788 480311 960622 1921244 15924157 31848314 63696628 207014041 414028082 828056164