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819054816 = 2538531821
BaseRepresentation
bin110000110100011…
…100100011100000
32010002012021222120
4300310130203200
53134134223231
6213135104240
726203564626
oct6064344340
92102167876
10819054816
11390376008
121aa372080
131008c5028
147aac9516
154bd8cd96
hex30d1c8e0

819054816 has 24 divisors (see below), whose sum is σ = 2150019144. Its totient is φ = 273018240.

The previous prime is 819054809. The next prime is 819054823. The reversal of 819054816 is 618450918.

It is an interprime number because it is at equal distance from previous prime (819054809) and next prime (819054823).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×8190548162 = 1341701583225587712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4265815 + ... + 4266006.

It is an arithmetic number, because the mean of its divisors is an integer number (89584131).

Almost surely, 2819054816 is an apocalyptic number.

It is an amenable number.

819054816 is an abundant number, since it is smaller than the sum of its proper divisors (1330964328).

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

819054816 is a wasteful number, since it uses less digits than its factorization.

819054816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531834 (or 8531826 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 819054816 is about 28619.1337395107. The cubic root of 819054816 is about 935.6303968437.

The spelling of 819054816 in words is "eight hundred nineteen million, fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8531821 17063642 25595463 34127284 51190926 68254568 102381852 136509136 204763704 273018272 409527408 819054816