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8053506820 = 2251941950581
BaseRepresentation
bin1111000000000011…
…01100001100000100
3202210021002112110101
413200001230030010
5112443144204240
63411050333444
7403400451502
oct74001541404
922707075411
108053506820
113462aa3967
12168912a284
139b4658768
14565835672
1532206939a
hex1e006c304

8053506820 has 48 divisors (see below), whose sum is σ = 17845329600. Its totient is φ = 3044511360.

The previous prime is 8053506793. The next prime is 8053506829. The reversal of 8053506820 is 286053508.

It is a self number, because there is not a number n which added to its sum of digits gives 8053506820.

It is not an unprimeable number, because it can be changed into a prime (8053506829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133930 + ... + 184510.

It is an arithmetic number, because the mean of its divisors is an integer number (371777700).

Almost surely, 28053506820 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 8053506820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922664800).

8053506820 is an abundant number, since it is smaller than the sum of its proper divisors (9791822780).

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

8053506820 is a wasteful number, since it uses less digits than its factorization.

8053506820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51028 (or 51026 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 8053506820 is about 89741.3328405590. The cubic root of 8053506820 is about 2004.4489975387.

The spelling of 8053506820 in words is "eight billion, fifty-three million, five hundred six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 419 838 1676 2095 4190 7961 8380 15922 31844 39805 50581 79610 101162 159220 202324 252905 505810 961039 1011620 1922078 3844156 4805195 9610390 19220780 21193439 42386878 84773756 105967195 211934390 402675341 423868780 805350682 1610701364 2013376705 4026753410 8053506820