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886000896 = 28331143271
BaseRepresentation
bin110100110011110…
…100110100000000
32021202011111202000
4310303310310000
53303304012041
6223530024000
730645611664
oct6463646400
92252144660
10886000896
11415140650
12208878000
131117347b1
14859548a4
1552bb3bb6
hex34cf4d00

886000896 has 288 divisors, whose sum is σ = 2935511040. Its totient is φ = 261273600.

The previous prime is 886000877. The next prime is 886000909. The reversal of 886000896 is 698000688.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3269241 + ... + 3269511.

Almost surely, 2886000896 is an apocalyptic number.

886000896 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 886000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467755520).

886000896 is an abundant number, since it is smaller than the sum of its proper divisors (2049510144).

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

886000896 is a wasteful number, since it uses less digits than its factorization.

886000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 886000896 is about 29765.7671831250. The cubic root of 886000896 is about 960.4572821457.

The spelling of 886000896 in words is "eight hundred eighty-six million, eight hundred ninety-six", and thus it is an aban number.