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8556250000 = 2458372
BaseRepresentation
bin1111111011111111…
…00000001110010000
3211002022002112110011
413331333200032100
5120010400000000
63533010044304
7422013632164
oct77577401620
924068075404
108556250000
1136a08642a1
1217a9579694
13a6486132c
145b2502ca4
153512752ba
hex1fdfe0390

8556250000 has 135 divisors (see below), whose sum is σ = 21297352377. Its totient is φ = 3330000000.

The previous prime is 8556249997. The next prime is 8556250009. The reversal of 8556250000 is 526558.

The square root of 8556250000 is 92500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3323753104 + 5232496896 = 57652^2 + 72336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8556250009) 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 26 ways as a sum of consecutive naturals, for example, 231249982 + ... + 231250018.

Almost surely, 28556250000 is an apocalyptic number.

8556250000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8556250000 is the 92500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8556250000

8556250000 is an abundant number, since it is smaller than the sum of its proper divisors (12741102377).

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

8556250000 is an frugal number, since it uses more digits than its factorization.

8556250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The cubic root of 8556250000 is about 2045.3194822902.

Adding to 8556250000 its reverse (526558), we get a palindrome (8556776558).

The spelling of 8556250000 in words is "eight billion, five hundred fifty-six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1369 1480 1850 2000 2500 2738 2960 3125 3700 4625 5000 5476 6250 6845 7400 9250 10000 10952 12500 13690 14800 15625 18500 21904 23125 25000 27380 31250 34225 37000 46250 50000 54760 62500 68450 74000 78125 92500 109520 115625 125000 136900 156250 171125 185000 231250 250000 273800 312500 342250 370000 390625 462500 547600 578125 625000 684500 781250 855625 925000 1156250 1250000 1369000 1562500 1711250 1850000 2312500 2738000 2890625 3125000 3422500 4278125 4625000 5781250 6250000 6845000 8556250 9250000 11562500 13690000 14453125 17112500 21390625 23125000 28906250 34225000 42781250 46250000 57812500 68450000 85562500 106953125 115625000 171125000 213906250 231250000 342250000 427812500 534765625 855625000 1069531250 1711250000 2139062500 4278125000 8556250000