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8000000500 = 2253109229641
BaseRepresentation
bin1110111001101011…
…00101000111110100
3202122112102010120211
413130311211013310
5112341000004000
63401455435204
7402150611422
oct73465450764
922575363524
108000000500
113435878868
121673225b04
139a654340b
1455c6a8112
1531c4ea7ba
hex1dcd651f4

8000000500 has 96 divisors (see below), whose sum is σ = 17736919200. Its totient is φ = 3151872000.

The previous prime is 8000000479. The next prime is 8000000501. The reversal of 8000000500 is 50000008.

It can be written as a sum of positive squares in 16 ways, for example, as 1229343844 + 6770656656 = 35062^2 + 82284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000000501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12480180 + ... + 12480820.

It is an arithmetic number, because the mean of its divisors is an integer number (184759575).

Almost surely, 28000000500 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 8000000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868459600).

8000000500 is an abundant number, since it is smaller than the sum of its proper divisors (9736918700).

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

8000000500 is a wasteful number, since it uses less digits than its factorization.

8000000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 8000000500 is about 89442.7218950765. The cubic root of 8000000500 is about 2000.0000416667. Note that the first 4 decimals are identical.

Adding to 8000000500 its reverse (50000008), we get a palindrome (8050000508).

The spelling of 8000000500 in words is "eight billion, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 229 250 436 458 500 545 641 916 1090 1145 1282 2180 2290 2564 2725 3205 4580 5450 5725 6410 10900 11450 12820 13625 16025 22900 24961 27250 28625 32050 49922 54500 57250 64100 69869 80125 99844 114500 124805 139738 146789 160250 249610 279476 293578 320500 349345 499220 587156 624025 698690 733945 1248050 1397380 1467890 1746725 2496100 2935780 3120125 3493450 3669725 6240250 6986900 7339450 8733625 12480500 14678900 16000001 17467250 18348625 32000002 34934500 36697250 64000004 73394500 80000005 160000010 320000020 400000025 800000050 1600000100 2000000125 4000000250 8000000500