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828326064 = 243169710169
BaseRepresentation
bin110001010111110…
…100000010110000
32010201122022202010
4301113310002300
53144022413224
6214105522520
726345440536
oct6127640260
92121568663
10828326064
113956286a5
121b14a3440
131027bcc87
147c020156
154cabee29
hex315f40b0

828326064 has 40 divisors (see below), whose sum is σ = 2141313840. Its totient is φ = 275918848.

The previous prime is 828326021. The next prime is 828326077. The reversal of 828326064 is 460623828.

It is a super-2 number, since 2×8283260642 = 1372248136603464192, which contains 22 as substring.

It is an unprimeable number.

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, 76372 + ... + 86540.

It is an arithmetic number, because the mean of its divisors is an integer number (53532846).

Almost surely, 2828326064 is an apocalyptic number.

It is an amenable number.

828326064 is an abundant number, since it is smaller than the sum of its proper divisors (1312987776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828326064 is a wasteful number, since it uses less digits than its factorization.

828326064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11877 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 828326064 is about 28780.6543358555. The cubic root of 828326064 is about 939.1474327916.

The spelling of 828326064 in words is "eight hundred twenty-eight million, three hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1697 3394 5091 6788 10169 10182 13576 20338 20364 27152 30507 40676 40728 61014 81352 81456 122028 162704 244056 488112 17256793 34513586 51770379 69027172 103540758 138054344 207081516 276108688 414163032 828326064