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2086384608 = 253371122851
BaseRepresentation
bin111110001011011…
…1011001111100000
312101101220022122000
41330112323033200
513233103301413
6543010244000
7102462655650
oct17426731740
95341808560
102086384608
11980789700
124a2886600
13273331809
1415b144360
15c3278073
hex7c5bb3e0

2086384608 has 288 divisors, whose sum is σ = 7647010560. Its totient is φ = 541728000.

The previous prime is 2086384571. The next prime is 2086384621. The reversal of 2086384608 is 8064836802.

It is a happy number.

2086384608 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 38 + 4 + 608 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730383 + ... + 733233.

It is an arithmetic number, because the mean of its divisors is an integer number (26552120).

Almost surely, 22086384608 is an apocalyptic number.

2086384608 is a gapful number since it is divisible by the number (28) 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 2086384608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823505280).

2086384608 is an abundant number, since it is smaller than the sum of its proper divisors (5560625952).

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

2086384608 is a wasteful number, since it uses less digits than its factorization.

2086384608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2086384608 is about 45676.9592683226. The cubic root of 2086384608 is about 1277.8056086445.

The spelling of 2086384608 in words is "two billion, eighty-six million, three hundred eighty-four thousand, six hundred eight".