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805250000 = 24563221
BaseRepresentation
bin101111111111110…
…010001111010000
32002010012221100002
4233333302033100
53122121000000
6211523145132
725645340432
oct5777621720
92063187302
10805250000
113835a7275
121a58151a8
13caaa06b9
1478d34652
154aa628d5
hex2fff23d0

805250000 has 70 divisors (see below), whose sum is σ = 1950795342. Its totient is φ = 322000000.

The previous prime is 805249957. The next prime is 805250009. The reversal of 805250000 is 52508.

It can be written as a sum of positive squares in 7 ways, for example, as 795465616 + 9784384 = 28204^2 + 3128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805250009) 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 13 ways as a sum of consecutive naturals, for example, 248390 + ... + 251610.

Almost surely, 2805250000 is an apocalyptic number.

805250000 is a gapful number since it is divisible by the number (80) 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 805250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975397671).

805250000 is an abundant number, since it is smaller than the sum of its proper divisors (1145545342).

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

805250000 is an frugal number, since it uses more digits than its factorization.

805250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 805250000 is about 28376.9272473254. The cubic root of 805250000 is about 930.3440358165.

The spelling of 805250000 in words is "eight hundred five million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 3221 5000 6250 6442 10000 12500 12884 15625 16105 25000 25768 31250 32210 50000 51536 62500 64420 80525 125000 128840 161050 250000 257680 322100 402625 644200 805250 1288400 1610500 2013125 3221000 4026250 6442000 8052500 10065625 16105000 20131250 32210000 40262500 50328125 80525000 100656250 161050000 201312500 402625000 805250000