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856032128 = 2775091877
BaseRepresentation
bin110011000001100…
…000001110000000
32012122202221022122
4303001200032000
53223121012003
6220535423412
730133103330
oct6301401600
92178687278
10856032128
113aa231676
121ba824b68
13108470ab3
14819930c0
1550244238
hex33060380

856032128 has 64 divisors (see below), whose sum is σ = 1953871200. Its totient is φ = 365955072.

The previous prime is 856032077. The next prime is 856032139. The reversal of 856032128 is 821230658.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455126 + ... + 457002.

Almost surely, 2856032128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976935600).

856032128 is an abundant number, since it is smaller than the sum of its proper divisors (1097839072).

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

856032128 is a wasteful number, since it uses less digits than its factorization.

856032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 856032128 is about 29258.0267277204. The cubic root of 856032128 is about 949.5037585573.

The spelling of 856032128 in words is "eight hundred fifty-six million, thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 509 896 1018 1877 2036 3563 3754 4072 7126 7508 8144 13139 14252 15016 16288 26278 28504 30032 32576 52556 57008 60064 65152 105112 114016 120128 210224 228032 240256 420448 456064 840896 955393 1681792 1910786 3821572 6687751 7643144 13375502 15286288 26751004 30572576 53502008 61145152 107004016 122290304 214008032 428016064 856032128