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808036146 = 232172779533
BaseRepresentation
bin110000001010011…
…010011100110010
32002022110111012200
4300022122130302
53123324124041
6212103004030
726011123341
oct6012323462
92068414180
10808036146
1138512a575
121a6739616
13cb5378c8
147945bb58
154ae131b6
hex3029a732

808036146 has 48 divisors (see below), whose sum is σ = 1860617304. Its totient is φ = 252559872.

The previous prime is 808036121. The next prime is 808036153. The reversal of 808036146 is 641630808.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 546858225 + 261177921 = 23385^2 + 16161^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 808036146.

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 23 ways as a sum of consecutive naturals, for example, 79996 + ... + 89528.

Almost surely, 2808036146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808036146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930308652).

808036146 is an abundant number, since it is smaller than the sum of its proper divisors (1052581158).

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

808036146 is a wasteful number, since it uses less digits than its factorization.

808036146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9832 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 808036146 is about 28425.9766059145. The cubic root of 808036146 is about 931.4157901545.

The spelling of 808036146 in words is "eight hundred eight million, thirty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 277 306 554 831 1662 2493 4709 4986 9418 9533 14127 19066 28254 28599 42381 57198 84762 85797 162061 171594 324122 486183 972366 1458549 2640641 2917098 5281282 7921923 15843846 23765769 44890897 47531538 89781794 134672691 269345382 404018073 808036146