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8450000 = 2455132
BaseRepresentation
bin100000001110…
…111111010000
3120220022012222
4200032333100
54130400000
6501040212
7131552366
oct40167720
916808188
108450000
114851679
1229b6068
13199b200
14119d636
15b1da85
hex80efd0

8450000 has 90 divisors (see below), whose sum is σ = 22158738. Its totient is φ = 3120000.

The previous prime is 8449999. The next prime is 8450009. The reversal of 8450000 is 548.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 7441984 + 1008016 = 2728^2 + 1004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8450009) 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 17 ways as a sum of consecutive naturals, for example, 649994 + ... + 650006.

Almost surely, 28450000 is an apocalyptic number.

8450000 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 8450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11079369).

8450000 is an abundant number, since it is smaller than the sum of its proper divisors (13708738).

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

8450000 is an equidigital number, since it uses as much as digits as its factorization.

8450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8450000 is about 2906.8883707497. Note that the first 3 decimals coincide. The cubic root of 8450000 is about 203.6818056248.

Adding to 8450000 its reverse (548), we get a palindrome (8450548).

The spelling of 8450000 in words is "eight million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 169 200 208 250 260 325 338 400 500 520 625 650 676 845 1000 1040 1250 1300 1352 1625 1690 2000 2500 2600 2704 3125 3250 3380 4225 5000 5200 6250 6500 6760 8125 8450 10000 12500 13000 13520 16250 16900 21125 25000 26000 32500 33800 40625 42250 50000 65000 67600 81250 84500 105625 130000 162500 169000 211250 325000 338000 422500 528125 650000 845000 1056250 1690000 2112500 4225000 8450000