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95886016 = 2647127251
BaseRepresentation
bin1011011011100…
…01101011000000
320200102111212221
411231301223000
5144021323031
613303100424
72243006032
oct555615300
9220374787
1095886016
114a141646
1228141714
1316b330b5
14ca3dc52
158640a11
hex5b71ac0

95886016 has 56 divisors (see below), whose sum is σ = 196632576. Its totient is φ = 46368000.

The previous prime is 95885983. The next prime is 95886029. The reversal of 95886016 is 61068859.

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, 381891 + ... + 382141.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 295886016 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 95886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98316288).

95886016 is an abundant number, since it is smaller than the sum of its proper divisors (100746560).

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

95886016 is a wasteful number, since it uses less digits than its factorization.

95886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 95886016 is about 9792.1405218675. The cubic root of 95886016 is about 457.7044042671.

The spelling of 95886016 in words is "ninety-five million, eight hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 127 188 251 254 376 502 508 752 1004 1016 1504 2008 2032 3008 4016 4064 5969 8032 8128 11797 11938 16064 23594 23876 31877 47188 47752 63754 94376 95504 127508 188752 191008 255016 377504 382016 510032 755008 1020064 1498219 2040128 2996438 5992876 11985752 23971504 47943008 95886016